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Finding the Fourth Proportional to 2,204.24, 3,306.42 and 644.42

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Solution

The fourth proportional to 2,204.24, 3,306.42 and 644.42 is: 966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.24 : 3,306.42 = 644.42 : x
  2. Step 2: Convert to fraction form
    2,204.24/3,306.42 = 644.42/x
  3. Step 3: Cross multiply
    2,204.24x = 3,306.42 × 644.42
  4. Step 4: Simplify right side
    2,204.24x = 2,130,723.18
  5. Step 5: Solve for x
    x = 2,130,723.18/2,204.24
  6. Step 6: Final answer
    x = 966.65

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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.