Home / 3,198.74-4,414.25-1,782.44

Finding the Fourth Proportional to 3,198.74, 4,414.25 and 1,782.44

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Solution

The fourth proportional to 3,198.74, 4,414.25 and 1,782.44 is: 2,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.74 : 4,414.25 = 1,782.44 : x
  2. Step 2: Convert to fraction form
    3,198.74/4,414.25 = 1,782.44/x
  3. Step 3: Cross multiply
    3,198.74x = 4,414.25 × 1,782.44
  4. Step 4: Simplify right side
    3,198.74x = 7,868,104.79
  5. Step 5: Solve for x
    x = 7,868,104.79/3,198.74
  6. Step 6: Final answer
    x = 2,459.76

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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.