Home / 2,198.56-3,295.98-965.04

Finding the Fourth Proportional to 2,198.56, 3,295.98 and 965.04

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Solution

The fourth proportional to 2,198.56, 3,295.98 and 965.04 is: 1,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.56 : 3,295.98 = 965.04 : x
  2. Step 2: Convert to fraction form
    2,198.56/3,295.98 = 965.04/x
  3. Step 3: Cross multiply
    2,198.56x = 3,295.98 × 965.04
  4. Step 4: Simplify right side
    2,198.56x = 3,180,752.54
  5. Step 5: Solve for x
    x = 3,180,752.54/2,198.56
  6. Step 6: Final answer
    x = 1,446.74

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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.