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Finding the Fourth Proportional to 2,201.69, 3,302.18 and 814.71

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Solution

The fourth proportional to 2,201.69, 3,302.18 and 814.71 is: 1,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.69 : 3,302.18 = 814.71 : x
  2. Step 2: Convert to fraction form
    2,201.69/3,302.18 = 814.71/x
  3. Step 3: Cross multiply
    2,201.69x = 3,302.18 × 814.71
  4. Step 4: Simplify right side
    2,201.69x = 2,690,321.10
  5. Step 5: Solve for x
    x = 2,690,321.10/2,201.69
  6. Step 6: Final answer
    x = 1,221.93

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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.