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Finding the Fourth Proportional to 1,542.54, 2,308.14 and 1,149.96

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Solution

The fourth proportional to 1,542.54, 2,308.14 and 1,149.96 is: 1,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.54 : 2,308.14 = 1,149.96 : x
  2. Step 2: Convert to fraction form
    1,542.54/2,308.14 = 1,149.96/x
  3. Step 3: Cross multiply
    1,542.54x = 2,308.14 × 1,149.96
  4. Step 4: Simplify right side
    1,542.54x = 2,654,268.67
  5. Step 5: Solve for x
    x = 2,654,268.67/1,542.54
  6. Step 6: Final answer
    x = 1,720.71

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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.