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Finding the Fourth Proportional to 2,204.02, 3,306.11 and 664.98

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Solution

The fourth proportional to 2,204.02, 3,306.11 and 664.98 is: 997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.02 : 3,306.11 = 664.98 : x
  2. Step 2: Convert to fraction form
    2,204.02/3,306.11 = 664.98/x
  3. Step 3: Cross multiply
    2,204.02x = 3,306.11 × 664.98
  4. Step 4: Simplify right side
    2,204.02x = 2,198,497.03
  5. Step 5: Solve for x
    x = 2,198,497.03/2,204.02
  6. Step 6: Final answer
    x = 997.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.