Home / 2,198.35-3,295.71-1,027.78

Finding the Fourth Proportional to 2,198.35, 3,295.71 and 1,027.78

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Solution

The fourth proportional to 2,198.35, 3,295.71 and 1,027.78 is: 1,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.35 : 3,295.71 = 1,027.78 : x
  2. Step 2: Convert to fraction form
    2,198.35/3,295.71 = 1,027.78/x
  3. Step 3: Cross multiply
    2,198.35x = 3,295.71 × 1,027.78
  4. Step 4: Simplify right side
    2,198.35x = 3,387,256.58
  5. Step 5: Solve for x
    x = 3,387,256.58/2,198.35
  6. Step 6: Final answer
    x = 1,540.82

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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.