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Finding the Fourth Proportional to 2,587.96, 3,882.36 and 1,027.97

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Solution

The fourth proportional to 2,587.96, 3,882.36 and 1,027.97 is: 1,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.96 : 3,882.36 = 1,027.97 : x
  2. Step 2: Convert to fraction form
    2,587.96/3,882.36 = 1,027.97/x
  3. Step 3: Cross multiply
    2,587.96x = 3,882.36 × 1,027.97
  4. Step 4: Simplify right side
    2,587.96x = 3,990,949.61
  5. Step 5: Solve for x
    x = 3,990,949.61/2,587.96
  6. Step 6: Final answer
    x = 1,542.12

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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.