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Finding the Fourth Proportional to 2,039.92, 2,815.17 and 1,155.71

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Solution

The fourth proportional to 2,039.92, 2,815.17 and 1,155.71 is: 1,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.92 : 2,815.17 = 1,155.71 : x
  2. Step 2: Convert to fraction form
    2,039.92/2,815.17 = 1,155.71/x
  3. Step 3: Cross multiply
    2,039.92x = 2,815.17 × 1,155.71
  4. Step 4: Simplify right side
    2,039.92x = 3,253,520.12
  5. Step 5: Solve for x
    x = 3,253,520.12/2,039.92
  6. Step 6: Final answer
    x = 1,594.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.