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Finding the Fourth Proportional to 2,781.88, 4,182.83 and 2,565.16

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Solution

The fourth proportional to 2,781.88, 4,182.83 and 2,565.16 is: 3,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.88 : 4,182.83 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    2,781.88/4,182.83 = 2,565.16/x
  3. Step 3: Cross multiply
    2,781.88x = 4,182.83 × 2,565.16
  4. Step 4: Simplify right side
    2,781.88x = 10,729,594.46
  5. Step 5: Solve for x
    x = 10,729,594.46/2,781.88
  6. Step 6: Final answer
    x = 3,856.96

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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.