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Finding the Fourth Proportional to 2,200.44, 3,299.83 and 739.24

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Solution

The fourth proportional to 2,200.44, 3,299.83 and 739.24 is: 1,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.44 : 3,299.83 = 739.24 : x
  2. Step 2: Convert to fraction form
    2,200.44/3,299.83 = 739.24/x
  3. Step 3: Cross multiply
    2,200.44x = 3,299.83 × 739.24
  4. Step 4: Simplify right side
    2,200.44x = 2,439,366.33
  5. Step 5: Solve for x
    x = 2,439,366.33/2,200.44
  6. Step 6: Final answer
    x = 1,108.58

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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.