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Finding the Fourth Proportional to 3,169.20, 4,751.22 and 1,321.70

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Solution

The fourth proportional to 3,169.20, 4,751.22 and 1,321.70 is: 1,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.20 : 4,751.22 = 1,321.70 : x
  2. Step 2: Convert to fraction form
    3,169.20/4,751.22 = 1,321.70/x
  3. Step 3: Cross multiply
    3,169.20x = 4,751.22 × 1,321.70
  4. Step 4: Simplify right side
    3,169.20x = 6,279,687.47
  5. Step 5: Solve for x
    x = 6,279,687.47/3,169.20
  6. Step 6: Final answer
    x = 1,981.47

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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.