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Finding the Fourth Proportional to 2,587.92, 3,879.38 and 1,027.41

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Solution

The fourth proportional to 2,587.92, 3,879.38 and 1,027.41 is: 1,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.92 : 3,879.38 = 1,027.41 : x
  2. Step 2: Convert to fraction form
    2,587.92/3,879.38 = 1,027.41/x
  3. Step 3: Cross multiply
    2,587.92x = 3,879.38 × 1,027.41
  4. Step 4: Simplify right side
    2,587.92x = 3,985,708.67
  5. Step 5: Solve for x
    x = 3,985,708.67/2,587.92
  6. Step 6: Final answer
    x = 1,540.12

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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.