Home / 2,198.26-3,298.20-1,159.03

Finding the Fourth Proportional to 2,198.26, 3,298.20 and 1,159.03

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Solution

The fourth proportional to 2,198.26, 3,298.20 and 1,159.03 is: 1,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.26 : 3,298.20 = 1,159.03 : x
  2. Step 2: Convert to fraction form
    2,198.26/3,298.20 = 1,159.03/x
  3. Step 3: Cross multiply
    2,198.26x = 3,298.20 × 1,159.03
  4. Step 4: Simplify right side
    2,198.26x = 3,822,712.75
  5. Step 5: Solve for x
    x = 3,822,712.75/2,198.26
  6. Step 6: Final answer
    x = 1,738.97

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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.