
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
Given that $\frac{1}{4}$ of the freshmen and $\frac{1}{2}$ of the juniors participated in the science fair, and the number of freshmen and junior participants was the same, determine the ratio of the number of juniors to freshmen.

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