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Finding the Fourth Proportional to 2,687.26, 4,029 and 1,042.42

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Solution

The fourth proportional to 2,687.26, 4,029 and 1,042.42 is: 1,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.26 : 4,029 = 1,042.42 : x
  2. Step 2: Convert to fraction form
    2,687.26/4,029 = 1,042.42/x
  3. Step 3: Cross multiply
    2,687.26x = 4,029 × 1,042.42
  4. Step 4: Simplify right side
    2,687.26x = 4,199,910.18
  5. Step 5: Solve for x
    x = 4,199,910.18/2,687.26
  6. Step 6: Final answer
    x = 1,562.90

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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.