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Finding the Fourth Proportional to 2,205.90, 3,309.25 and 725.20

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Solution

The fourth proportional to 2,205.90, 3,309.25 and 725.20 is: 1,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.90 : 3,309.25 = 725.20 : x
  2. Step 2: Convert to fraction form
    2,205.90/3,309.25 = 725.20/x
  3. Step 3: Cross multiply
    2,205.90x = 3,309.25 × 725.20
  4. Step 4: Simplify right side
    2,205.90x = 2,399,866.29
  5. Step 5: Solve for x
    x = 2,399,866.29/2,205.90
  6. Step 6: Final answer
    x = 1,087.93

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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.