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Finding the Fourth Proportional to 2,204.25, 3,306.05 and 560.69

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Solution

The fourth proportional to 2,204.25, 3,306.05 and 560.69 is: 840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.25 : 3,306.05 = 560.69 : x
  2. Step 2: Convert to fraction form
    2,204.25/3,306.05 = 560.69/x
  3. Step 3: Cross multiply
    2,204.25x = 3,306.05 × 560.69
  4. Step 4: Simplify right side
    2,204.25x = 1,853,664.34
  5. Step 5: Solve for x
    x = 1,853,664.34/2,204.25
  6. Step 6: Final answer
    x = 840.95

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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.