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Finding the Fourth Proportional to 2,131.49, 3,198.41 and 816.11

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Solution

The fourth proportional to 2,131.49, 3,198.41 and 816.11 is: 1,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.49 : 3,198.41 = 816.11 : x
  2. Step 2: Convert to fraction form
    2,131.49/3,198.41 = 816.11/x
  3. Step 3: Cross multiply
    2,131.49x = 3,198.41 × 816.11
  4. Step 4: Simplify right side
    2,131.49x = 2,610,250.30
  5. Step 5: Solve for x
    x = 2,610,250.30/2,131.49
  6. Step 6: Final answer
    x = 1,224.62

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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.