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Finding the Fourth Proportional to 2,204.25, 3,306.38 and 665.25

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Solution

The fourth proportional to 2,204.25, 3,306.38 and 665.25 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.25 : 3,306.38 = 665.25 : x
  2. Step 2: Convert to fraction form
    2,204.25/3,306.38 = 665.25/x
  3. Step 3: Cross multiply
    2,204.25x = 3,306.38 × 665.25
  4. Step 4: Simplify right side
    2,204.25x = 2,199,565.97
  5. Step 5: Solve for x
    x = 2,199,565.97/2,204.25
  6. Step 6: Final answer
    x = 997.88

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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.