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Finding the Fourth Proportional to 2,204.02, 3,306.02 and 560.42

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Solution

The fourth proportional to 2,204.02, 3,306.02 and 560.42 is: 840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.02 : 3,306.02 = 560.42 : x
  2. Step 2: Convert to fraction form
    2,204.02/3,306.02 = 560.42/x
  3. Step 3: Cross multiply
    2,204.02x = 3,306.02 × 560.42
  4. Step 4: Simplify right side
    2,204.02x = 1,852,759.73
  5. Step 5: Solve for x
    x = 1,852,759.73/2,204.02
  6. Step 6: Final answer
    x = 840.63

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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.