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Finding the Fourth Proportional to 2,205.97, 3,309.09 and 725.29

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Solution

The fourth proportional to 2,205.97, 3,309.09 and 725.29 is: 1,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.97 : 3,309.09 = 725.29 : x
  2. Step 2: Convert to fraction form
    2,205.97/3,309.09 = 725.29/x
  3. Step 3: Cross multiply
    2,205.97x = 3,309.09 × 725.29
  4. Step 4: Simplify right side
    2,205.97x = 2,400,049.89
  5. Step 5: Solve for x
    x = 2,400,049.89/2,205.97
  6. Step 6: Final answer
    x = 1,087.98

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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.