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Finding the Fourth Proportional to 1,542.97, 2,124.79 and 1,149.31

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Solution

The fourth proportional to 1,542.97, 2,124.79 and 1,149.31 is: 1,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.97 : 2,124.79 = 1,149.31 : x
  2. Step 2: Convert to fraction form
    1,542.97/2,124.79 = 1,149.31/x
  3. Step 3: Cross multiply
    1,542.97x = 2,124.79 × 1,149.31
  4. Step 4: Simplify right side
    1,542.97x = 2,442,042.39
  5. Step 5: Solve for x
    x = 2,442,042.39/1,542.97
  6. Step 6: Final answer
    x = 1,582.69

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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.