Home / 2,198.82-3,034.38-1,204.12

Finding the Fourth Proportional to 2,198.82, 3,034.38 and 1,204.12

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Solution

The fourth proportional to 2,198.82, 3,034.38 and 1,204.12 is: 1,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.82 : 3,034.38 = 1,204.12 : x
  2. Step 2: Convert to fraction form
    2,198.82/3,034.38 = 1,204.12/x
  3. Step 3: Cross multiply
    2,198.82x = 3,034.38 × 1,204.12
  4. Step 4: Simplify right side
    2,198.82x = 3,653,755.42
  5. Step 5: Solve for x
    x = 3,653,755.42/2,198.82
  6. Step 6: Final answer
    x = 1,661.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.