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Finding the Fourth Proportional to 2,391.53, 3,588.17 and 1,158.30

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Solution

The fourth proportional to 2,391.53, 3,588.17 and 1,158.30 is: 1,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.53 : 3,588.17 = 1,158.30 : x
  2. Step 2: Convert to fraction form
    2,391.53/3,588.17 = 1,158.30/x
  3. Step 3: Cross multiply
    2,391.53x = 3,588.17 × 1,158.30
  4. Step 4: Simplify right side
    2,391.53x = 4,156,171.52
  5. Step 5: Solve for x
    x = 4,156,171.52/2,391.53
  6. Step 6: Final answer
    x = 1,737.88

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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.