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Finding the Fourth Proportional to 3,189.69, 4,399.78 and 2,193.24

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Solution

The fourth proportional to 3,189.69, 4,399.78 and 2,193.24 is: 3,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.69 : 4,399.78 = 2,193.24 : x
  2. Step 2: Convert to fraction form
    3,189.69/4,399.78 = 2,193.24/x
  3. Step 3: Cross multiply
    3,189.69x = 4,399.78 × 2,193.24
  4. Step 4: Simplify right side
    3,189.69x = 9,649,759.73
  5. Step 5: Solve for x
    x = 9,649,759.73/3,189.69
  6. Step 6: Final answer
    x = 3,025.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.