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Finding the Fourth Proportional to 2,204.02, 3,306.60 and 665.02

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Solution

The fourth proportional to 2,204.02, 3,306.60 and 665.02 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.02 : 3,306.60 = 665.02 : x
  2. Step 2: Convert to fraction form
    2,204.02/3,306.60 = 665.02/x
  3. Step 3: Cross multiply
    2,204.02x = 3,306.60 × 665.02
  4. Step 4: Simplify right side
    2,204.02x = 2,198,955.13
  5. Step 5: Solve for x
    x = 2,198,955.13/2,204.02
  6. Step 6: Final answer
    x = 997.70

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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.