Home / 2,198.92-3,034.38-1,204

Finding the Fourth Proportional to 2,198.92, 3,034.38 and 1,204

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Solution

The fourth proportional to 2,198.92, 3,034.38 and 1,204 is: 1,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.92 : 3,034.38 = 1,204 : x
  2. Step 2: Convert to fraction form
    2,198.92/3,034.38 = 1,204/x
  3. Step 3: Cross multiply
    2,198.92x = 3,034.38 × 1,204
  4. Step 4: Simplify right side
    2,198.92x = 3,653,393.52
  5. Step 5: Solve for x
    x = 3,653,393.52/2,198.92
  6. Step 6: Final answer
    x = 1,661.45

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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.