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Finding the Fourth Proportional to 2,024.92, 3,037.38 and 726.31

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Solution

The fourth proportional to 2,024.92, 3,037.38 and 726.31 is: 1,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.92 : 3,037.38 = 726.31 : x
  2. Step 2: Convert to fraction form
    2,024.92/3,037.38 = 726.31/x
  3. Step 3: Cross multiply
    2,024.92x = 3,037.38 × 726.31
  4. Step 4: Simplify right side
    2,024.92x = 2,206,079.47
  5. Step 5: Solve for x
    x = 2,206,079.47/2,024.92
  6. Step 6: Final answer
    x = 1,089.47

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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.