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Finding the Fourth Proportional to 2,221.73, 3,330.29 and 834.08

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Solution

The fourth proportional to 2,221.73, 3,330.29 and 834.08 is: 1,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.73 : 3,330.29 = 834.08 : x
  2. Step 2: Convert to fraction form
    2,221.73/3,330.29 = 834.08/x
  3. Step 3: Cross multiply
    2,221.73x = 3,330.29 × 834.08
  4. Step 4: Simplify right side
    2,221.73x = 2,777,728.28
  5. Step 5: Solve for x
    x = 2,777,728.28/2,221.73
  6. Step 6: Final answer
    x = 1,250.25

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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.