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Finding the Fourth Proportional to 1,387.53, 2,082.11 and 1,150.61

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Solution

The fourth proportional to 1,387.53, 2,082.11 and 1,150.61 is: 1,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.53 : 2,082.11 = 1,150.61 : x
  2. Step 2: Convert to fraction form
    1,387.53/2,082.11 = 1,150.61/x
  3. Step 3: Cross multiply
    1,387.53x = 2,082.11 × 1,150.61
  4. Step 4: Simplify right side
    1,387.53x = 2,395,680.42
  5. Step 5: Solve for x
    x = 2,395,680.42/1,387.53
  6. Step 6: Final answer
    x = 1,726.58

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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.