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Finding the Fourth Proportional to 2,331.84, 3,489.02 and 1,391.34

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Solution

The fourth proportional to 2,331.84, 3,489.02 and 1,391.34 is: 2,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,489.02 = 1,391.34 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,489.02 = 1,391.34/x
  3. Step 3: Cross multiply
    2,331.84x = 3,489.02 × 1,391.34
  4. Step 4: Simplify right side
    2,331.84x = 4,854,413.09
  5. Step 5: Solve for x
    x = 4,854,413.09/2,331.84
  6. Step 6: Final answer
    x = 2,081.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.