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Finding the Fourth Proportional to 3,272.55, 4,906.05 and 1,422.27

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Solution

The fourth proportional to 3,272.55, 4,906.05 and 1,422.27 is: 2,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.55 : 4,906.05 = 1,422.27 : x
  2. Step 2: Convert to fraction form
    3,272.55/4,906.05 = 1,422.27/x
  3. Step 3: Cross multiply
    3,272.55x = 4,906.05 × 1,422.27
  4. Step 4: Simplify right side
    3,272.55x = 6,977,727.73
  5. Step 5: Solve for x
    x = 6,977,727.73/3,272.55
  6. Step 6: Final answer
    x = 2,132.20

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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.