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Finding the Fourth Proportional to 2,489.52, 3,734.82 and 758.28

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Solution

The fourth proportional to 2,489.52, 3,734.82 and 758.28 is: 1,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.52 : 3,734.82 = 758.28 : x
  2. Step 2: Convert to fraction form
    2,489.52/3,734.82 = 758.28/x
  3. Step 3: Cross multiply
    2,489.52x = 3,734.82 × 758.28
  4. Step 4: Simplify right side
    2,489.52x = 2,832,039.31
  5. Step 5: Solve for x
    x = 2,832,039.31/2,489.52
  6. Step 6: Final answer
    x = 1,137.58

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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.