Home / 2,198-3,033.78-1,267.04

Finding the Fourth Proportional to 2,198, 3,033.78 and 1,267.04

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Solution

The fourth proportional to 2,198, 3,033.78 and 1,267.04 is: 1,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198 : 3,033.78 = 1,267.04 : x
  2. Step 2: Convert to fraction form
    2,198/3,033.78 = 1,267.04/x
  3. Step 3: Cross multiply
    2,198x = 3,033.78 × 1,267.04
  4. Step 4: Simplify right side
    2,198x = 3,843,920.61
  5. Step 5: Solve for x
    x = 3,843,920.61/2,198
  6. Step 6: Final answer
    x = 1,748.83

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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.