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Finding the Fourth Proportional to 3,169.20, 4,753.44 and 1,221.24

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Solution

The fourth proportional to 3,169.20, 4,753.44 and 1,221.24 is: 1,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.20 : 4,753.44 = 1,221.24 : x
  2. Step 2: Convert to fraction form
    3,169.20/4,753.44 = 1,221.24/x
  3. Step 3: Cross multiply
    3,169.20x = 4,753.44 × 1,221.24
  4. Step 4: Simplify right side
    3,169.20x = 5,805,091.07
  5. Step 5: Solve for x
    x = 5,805,091.07/3,169.20
  6. Step 6: Final answer
    x = 1,831.72

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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.