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Finding the Fourth Proportional to 1,372.52, 2,049.01 and 1,314.92

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Solution

The fourth proportional to 1,372.52, 2,049.01 and 1,314.92 is: 1,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.52 : 2,049.01 = 1,314.92 : x
  2. Step 2: Convert to fraction form
    1,372.52/2,049.01 = 1,314.92/x
  3. Step 3: Cross multiply
    1,372.52x = 2,049.01 × 1,314.92
  4. Step 4: Simplify right side
    1,372.52x = 2,694,284.23
  5. Step 5: Solve for x
    x = 2,694,284.23/1,372.52
  6. Step 6: Final answer
    x = 1,963.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.