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Finding the Fourth Proportional to 2,604.72, 3,906.96 and 961.16

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Solution

The fourth proportional to 2,604.72, 3,906.96 and 961.16 is: 1,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.72 : 3,906.96 = 961.16 : x
  2. Step 2: Convert to fraction form
    2,604.72/3,906.96 = 961.16/x
  3. Step 3: Cross multiply
    2,604.72x = 3,906.96 × 961.16
  4. Step 4: Simplify right side
    2,604.72x = 3,755,213.67
  5. Step 5: Solve for x
    x = 3,755,213.67/2,604.72
  6. Step 6: Final answer
    x = 1,441.70

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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.