Home / 2,862.42-3,952.06-2,198.10

Finding the Fourth Proportional to 2,862.42, 3,952.06 and 2,198.10

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Solution

The fourth proportional to 2,862.42, 3,952.06 and 2,198.10 is: 3,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.42 : 3,952.06 = 2,198.10 : x
  2. Step 2: Convert to fraction form
    2,862.42/3,952.06 = 2,198.10/x
  3. Step 3: Cross multiply
    2,862.42x = 3,952.06 × 2,198.10
  4. Step 4: Simplify right side
    2,862.42x = 8,687,023.09
  5. Step 5: Solve for x
    x = 8,687,023.09/2,862.42
  6. Step 6: Final answer
    x = 3,034.85

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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.