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Finding the Fourth Proportional to 2,209.98, 3,310.92 and 1,233.12

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Solution

The fourth proportional to 2,209.98, 3,310.92 and 1,233.12 is: 1,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.98 : 3,310.92 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    2,209.98/3,310.92 = 1,233.12/x
  3. Step 3: Cross multiply
    2,209.98x = 3,310.92 × 1,233.12
  4. Step 4: Simplify right side
    2,209.98x = 4,082,761.67
  5. Step 5: Solve for x
    x = 4,082,761.67/2,209.98
  6. Step 6: Final answer
    x = 1,847.42

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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.