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Finding the Fourth Proportional to 3,229.97, 4,456.98 and 1,813.34

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Solution

The fourth proportional to 3,229.97, 4,456.98 and 1,813.34 is: 2,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.97 : 4,456.98 = 1,813.34 : x
  2. Step 2: Convert to fraction form
    3,229.97/4,456.98 = 1,813.34/x
  3. Step 3: Cross multiply
    3,229.97x = 4,456.98 × 1,813.34
  4. Step 4: Simplify right side
    3,229.97x = 8,082,031.26
  5. Step 5: Solve for x
    x = 8,082,031.26/3,229.97
  6. Step 6: Final answer
    x = 2,502.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.