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Finding the Fourth Proportional to 2,112.68, 3,169.13 and 796.33

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Solution

The fourth proportional to 2,112.68, 3,169.13 and 796.33 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.68 : 3,169.13 = 796.33 : x
  2. Step 2: Convert to fraction form
    2,112.68/3,169.13 = 796.33/x
  3. Step 3: Cross multiply
    2,112.68x = 3,169.13 × 796.33
  4. Step 4: Simplify right side
    2,112.68x = 2,523,673.27
  5. Step 5: Solve for x
    x = 2,523,673.27/2,112.68
  6. Step 6: Final answer
    x = 1,194.54

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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.