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Finding the Fourth Proportional to 2,375.31, 3,563.15 and 731.87

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Solution

The fourth proportional to 2,375.31, 3,563.15 and 731.87 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.31 : 3,563.15 = 731.87 : x
  2. Step 2: Convert to fraction form
    2,375.31/3,563.15 = 731.87/x
  3. Step 3: Cross multiply
    2,375.31x = 3,563.15 × 731.87
  4. Step 4: Simplify right side
    2,375.31x = 2,607,762.59
  5. Step 5: Solve for x
    x = 2,607,762.59/2,375.31
  6. Step 6: Final answer
    x = 1,097.86

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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.