
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
Out of 780 students surveyed about their fruit preferences, the choices offered were apples, bananas, cherries, and dates. The survey results displayed that twice as many students preferred apples as preferred dates and three times as many students preferred bananas as preferred cherries. If the number of students who preferred cherries is 60, determine the ratio of students who preferred bananas to those who preferred dates.

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