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Finding the Fourth Proportional to 2,131.26, 3,195.86 and 796.12

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Solution

The fourth proportional to 2,131.26, 3,195.86 and 796.12 is: 1,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.26 : 3,195.86 = 796.12 : x
  2. Step 2: Convert to fraction form
    2,131.26/3,195.86 = 796.12/x
  3. Step 3: Cross multiply
    2,131.26x = 3,195.86 × 796.12
  4. Step 4: Simplify right side
    2,131.26x = 2,544,288.06
  5. Step 5: Solve for x
    x = 2,544,288.06/2,131.26
  6. Step 6: Final answer
    x = 1,193.80

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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.