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Finding the Fourth Proportional to 1,542.73, 2,129.13 and 1,149.07

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Solution

The fourth proportional to 1,542.73, 2,129.13 and 1,149.07 is: 1,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.73 : 2,129.13 = 1,149.07 : x
  2. Step 2: Convert to fraction form
    1,542.73/2,129.13 = 1,149.07/x
  3. Step 3: Cross multiply
    1,542.73x = 2,129.13 × 1,149.07
  4. Step 4: Simplify right side
    1,542.73x = 2,446,519.41
  5. Step 5: Solve for x
    x = 2,446,519.41/1,542.73
  6. Step 6: Final answer
    x = 1,585.84

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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.