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Finding the Fourth Proportional to 2,504.52, 3,757.41 and 861.15

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Solution

The fourth proportional to 2,504.52, 3,757.41 and 861.15 is: 1,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.52 : 3,757.41 = 861.15 : x
  2. Step 2: Convert to fraction form
    2,504.52/3,757.41 = 861.15/x
  3. Step 3: Cross multiply
    2,504.52x = 3,757.41 × 861.15
  4. Step 4: Simplify right side
    2,504.52x = 3,235,693.62
  5. Step 5: Solve for x
    x = 3,235,693.62/2,504.52
  6. Step 6: Final answer
    x = 1,291.94

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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.