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Finding the Fourth Proportional to 2,200.82, 3,301.22 and 739.91

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Solution

The fourth proportional to 2,200.82, 3,301.22 and 739.91 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.82 : 3,301.22 = 739.91 : x
  2. Step 2: Convert to fraction form
    2,200.82/3,301.22 = 739.91/x
  3. Step 3: Cross multiply
    2,200.82x = 3,301.22 × 739.91
  4. Step 4: Simplify right side
    2,200.82x = 2,442,615.79
  5. Step 5: Solve for x
    x = 2,442,615.79/2,200.82
  6. Step 6: Final answer
    x = 1,109.87

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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.