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Finding the Fourth Proportional to 3,282.68, 4,921.42 and 1,638.38

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Solution

The fourth proportional to 3,282.68, 4,921.42 and 1,638.38 is: 2,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.68 : 4,921.42 = 1,638.38 : x
  2. Step 2: Convert to fraction form
    3,282.68/4,921.42 = 1,638.38/x
  3. Step 3: Cross multiply
    3,282.68x = 4,921.42 × 1,638.38
  4. Step 4: Simplify right side
    3,282.68x = 8,063,156.10
  5. Step 5: Solve for x
    x = 8,063,156.10/3,282.68
  6. Step 6: Final answer
    x = 2,456.27

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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.