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Finding the Fourth Proportional to 2,131.31, 3,198.49 and 833.09

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Solution

The fourth proportional to 2,131.31, 3,198.49 and 833.09 is: 1,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.31 : 3,198.49 = 833.09 : x
  2. Step 2: Convert to fraction form
    2,131.31/3,198.49 = 833.09/x
  3. Step 3: Cross multiply
    2,131.31x = 3,198.49 × 833.09
  4. Step 4: Simplify right side
    2,131.31x = 2,664,611.96
  5. Step 5: Solve for x
    x = 2,664,611.96/2,131.31
  6. Step 6: Final answer
    x = 1,250.22

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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.