Home / 2,198-3,033.36-1,266.56

Finding the Fourth Proportional to 2,198, 3,033.36 and 1,266.56

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Solution

The fourth proportional to 2,198, 3,033.36 and 1,266.56 is: 1,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198 : 3,033.36 = 1,266.56 : x
  2. Step 2: Convert to fraction form
    2,198/3,033.36 = 1,266.56/x
  3. Step 3: Cross multiply
    2,198x = 3,033.36 × 1,266.56
  4. Step 4: Simplify right side
    2,198x = 3,841,932.44
  5. Step 5: Solve for x
    x = 3,841,932.44/2,198
  6. Step 6: Final answer
    x = 1,747.92

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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.