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Finding the Fourth Proportional to 2,169.20, 2,993.50 and 1,174.48

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Solution

The fourth proportional to 2,169.20, 2,993.50 and 1,174.48 is: 1,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.20 : 2,993.50 = 1,174.48 : x
  2. Step 2: Convert to fraction form
    2,169.20/2,993.50 = 1,174.48/x
  3. Step 3: Cross multiply
    2,169.20x = 2,993.50 × 1,174.48
  4. Step 4: Simplify right side
    2,169.20x = 3,515,805.88
  5. Step 5: Solve for x
    x = 3,515,805.88/2,169.20
  6. Step 6: Final answer
    x = 1,620.78

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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.