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Finding the Fourth Proportional to 2,514.28, 3,773.82 and 1,542.28

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Solution

The fourth proportional to 2,514.28, 3,773.82 and 1,542.28 is: 2,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.28 : 3,773.82 = 1,542.28 : x
  2. Step 2: Convert to fraction form
    2,514.28/3,773.82 = 1,542.28/x
  3. Step 3: Cross multiply
    2,514.28x = 3,773.82 × 1,542.28
  4. Step 4: Simplify right side
    2,514.28x = 5,820,287.11
  5. Step 5: Solve for x
    x = 5,820,287.11/2,514.28
  6. Step 6: Final answer
    x = 2,314.89

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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.