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Finding the Fourth Proportional to 2,183.26, 3,275 and 796.57

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Solution

The fourth proportional to 2,183.26, 3,275 and 796.57 is: 1,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.26 : 3,275 = 796.57 : x
  2. Step 2: Convert to fraction form
    2,183.26/3,275 = 796.57/x
  3. Step 3: Cross multiply
    2,183.26x = 3,275 × 796.57
  4. Step 4: Simplify right side
    2,183.26x = 2,608,766.75
  5. Step 5: Solve for x
    x = 2,608,766.75/2,183.26
  6. Step 6: Final answer
    x = 1,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.