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Finding the Fourth Proportional to 2,221.40, 3,332.56 and 834.73

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Solution

The fourth proportional to 2,221.40, 3,332.56 and 834.73 is: 1,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.40 : 3,332.56 = 834.73 : x
  2. Step 2: Convert to fraction form
    2,221.40/3,332.56 = 834.73/x
  3. Step 3: Cross multiply
    2,221.40x = 3,332.56 × 834.73
  4. Step 4: Simplify right side
    2,221.40x = 2,781,787.81
  5. Step 5: Solve for x
    x = 2,781,787.81/2,221.40
  6. Step 6: Final answer
    x = 1,252.27

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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.