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Finding the Fourth Proportional to 2,024.52, 3,037.28 and 854.61

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Solution

The fourth proportional to 2,024.52, 3,037.28 and 854.61 is: 1,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.52 : 3,037.28 = 854.61 : x
  2. Step 2: Convert to fraction form
    2,024.52/3,037.28 = 854.61/x
  3. Step 3: Cross multiply
    2,024.52x = 3,037.28 × 854.61
  4. Step 4: Simplify right side
    2,024.52x = 2,595,685.59
  5. Step 5: Solve for x
    x = 2,595,685.59/2,024.52
  6. Step 6: Final answer
    x = 1,282.12

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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.