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Finding the Fourth Proportional to 2,200.98, 3,301.24 and 739.95

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Solution

The fourth proportional to 2,200.98, 3,301.24 and 739.95 is: 1,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.98 : 3,301.24 = 739.95 : x
  2. Step 2: Convert to fraction form
    2,200.98/3,301.24 = 739.95/x
  3. Step 3: Cross multiply
    2,200.98x = 3,301.24 × 739.95
  4. Step 4: Simplify right side
    2,200.98x = 2,442,752.54
  5. Step 5: Solve for x
    x = 2,442,752.54/2,200.98
  6. Step 6: Final answer
    x = 1,109.85

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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.