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Finding the Fourth Proportional to 2,712.30, 4,067.28 and 863.61

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Solution

The fourth proportional to 2,712.30, 4,067.28 and 863.61 is: 1,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.30 : 4,067.28 = 863.61 : x
  2. Step 2: Convert to fraction form
    2,712.30/4,067.28 = 863.61/x
  3. Step 3: Cross multiply
    2,712.30x = 4,067.28 × 863.61
  4. Step 4: Simplify right side
    2,712.30x = 3,512,543.68
  5. Step 5: Solve for x
    x = 3,512,543.68/2,712.30
  6. Step 6: Final answer
    x = 1,295.04

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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.