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Finding the Fourth Proportional to 2,517.31, 3,776.01 and 873.91

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Solution

The fourth proportional to 2,517.31, 3,776.01 and 873.91 is: 1,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.31 : 3,776.01 = 873.91 : x
  2. Step 2: Convert to fraction form
    2,517.31/3,776.01 = 873.91/x
  3. Step 3: Cross multiply
    2,517.31x = 3,776.01 × 873.91
  4. Step 4: Simplify right side
    2,517.31x = 3,299,892.90
  5. Step 5: Solve for x
    x = 3,299,892.90/2,517.31
  6. Step 6: Final answer
    x = 1,310.88

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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.