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Finding the Fourth Proportional to 2,378.12, 3,565.89 and 1,078.88

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Solution

The fourth proportional to 2,378.12, 3,565.89 and 1,078.88 is: 1,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.12 : 3,565.89 = 1,078.88 : x
  2. Step 2: Convert to fraction form
    2,378.12/3,565.89 = 1,078.88/x
  3. Step 3: Cross multiply
    2,378.12x = 3,565.89 × 1,078.88
  4. Step 4: Simplify right side
    2,378.12x = 3,847,149.57
  5. Step 5: Solve for x
    x = 3,847,149.57/2,378.12
  6. Step 6: Final answer
    x = 1,617.73

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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.