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Finding the Fourth Proportional to 2,504.91, 3,757.23 and 773.55

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Solution

The fourth proportional to 2,504.91, 3,757.23 and 773.55 is: 1,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.91 : 3,757.23 = 773.55 : x
  2. Step 2: Convert to fraction form
    2,504.91/3,757.23 = 773.55/x
  3. Step 3: Cross multiply
    2,504.91x = 3,757.23 × 773.55
  4. Step 4: Simplify right side
    2,504.91x = 2,906,405.27
  5. Step 5: Solve for x
    x = 2,906,405.27/2,504.91
  6. Step 6: Final answer
    x = 1,160.28

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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.