
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Among the following four propositions:

1. There is a piece of deductive reasoning "Some rational numbers are proper fractions, integers are rational numbers, therefore integers are proper fractions." The conclusion is obviously wrong because the major premise is wrong.
2. In a regression model with two variables $y$ and $x$, four different models were chosen, with their correlation indices $R^{2}$ being: (1) 0.976; (2) 0.776; (3) 0.076; (4) 0.351, among which the model with the best fitting effect is (1).
3. Let $a$, $b$, $c \in (-\infty,0)$, then $a+ \frac {1}{b}$, $b+ \frac {1}{c}$, $c+ \frac {1}{a}$ at least one is not greater than $-2$.
4. If a right-angled triangle has two sides of lengths 6 and 8, another triangle similar to it has sides of lengths 3, 4, and $x$, then the value of $x$ is 5.

The correct proposition numbers are ______.

Present the answer in LaTex format: \boxed{Your answer}
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