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Finding the Fourth Proportional to 2,221.26, 3,332.25 and 834.78

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Solution

The fourth proportional to 2,221.26, 3,332.25 and 834.78 is: 1,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.26 : 3,332.25 = 834.78 : x
  2. Step 2: Convert to fraction form
    2,221.26/3,332.25 = 834.78/x
  3. Step 3: Cross multiply
    2,221.26x = 3,332.25 × 834.78
  4. Step 4: Simplify right side
    2,221.26x = 2,781,695.66
  5. Step 5: Solve for x
    x = 2,781,695.66/2,221.26
  6. Step 6: Final answer
    x = 1,252.31

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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.