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Finding the Fourth Proportional to 2,251.32, 3,380.22 and 1,468.86

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Solution

The fourth proportional to 2,251.32, 3,380.22 and 1,468.86 is: 2,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.32 : 3,380.22 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    2,251.32/3,380.22 = 1,468.86/x
  3. Step 3: Cross multiply
    2,251.32x = 3,380.22 × 1,468.86
  4. Step 4: Simplify right side
    2,251.32x = 4,965,069.95
  5. Step 5: Solve for x
    x = 4,965,069.95/2,251.32
  6. Step 6: Final answer
    x = 2,205.40

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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.