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Finding the Fourth Proportional to 2,204.44, 3,306.57 and 905.88

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Solution

The fourth proportional to 2,204.44, 3,306.57 and 905.88 is: 1,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.44 : 3,306.57 = 905.88 : x
  2. Step 2: Convert to fraction form
    2,204.44/3,306.57 = 905.88/x
  3. Step 3: Cross multiply
    2,204.44x = 3,306.57 × 905.88
  4. Step 4: Simplify right side
    2,204.44x = 2,995,355.63
  5. Step 5: Solve for x
    x = 2,995,355.63/2,204.44
  6. Step 6: Final answer
    x = 1,358.78

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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.