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Finding the Fourth Proportional to 3,272.97, 4,909.05 and 1,324.11

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Solution

The fourth proportional to 3,272.97, 4,909.05 and 1,324.11 is: 1,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.97 : 4,909.05 = 1,324.11 : x
  2. Step 2: Convert to fraction form
    3,272.97/4,909.05 = 1,324.11/x
  3. Step 3: Cross multiply
    3,272.97x = 4,909.05 × 1,324.11
  4. Step 4: Simplify right side
    3,272.97x = 6,500,122.20
  5. Step 5: Solve for x
    x = 6,500,122.20/3,272.97
  6. Step 6: Final answer
    x = 1,986.00

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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.