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Finding the Fourth Proportional to 4,229.60, 6,343.84 and 1,268

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Solution

The fourth proportional to 4,229.60, 6,343.84 and 1,268 is: 1,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.60 : 6,343.84 = 1,268 : x
  2. Step 2: Convert to fraction form
    4,229.60/6,343.84 = 1,268/x
  3. Step 3: Cross multiply
    4,229.60x = 6,343.84 × 1,268
  4. Step 4: Simplify right side
    4,229.60x = 8,043,989.12
  5. Step 5: Solve for x
    x = 8,043,989.12/4,229.60
  6. Step 6: Final answer
    x = 1,901.83

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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.