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Finding the Fourth Proportional to 4,247.68, 6,367.82 and 1,648.76

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Solution

The fourth proportional to 4,247.68, 6,367.82 and 1,648.76 is: 2,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.68 : 6,367.82 = 1,648.76 : x
  2. Step 2: Convert to fraction form
    4,247.68/6,367.82 = 1,648.76/x
  3. Step 3: Cross multiply
    4,247.68x = 6,367.82 × 1,648.76
  4. Step 4: Simplify right side
    4,247.68x = 10,499,006.90
  5. Step 5: Solve for x
    x = 10,499,006.90/4,247.68
  6. Step 6: Final answer
    x = 2,471.70

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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.