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Finding the Fourth Proportional to 2,422.68, 3,344.25 and 1,538.97

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Solution

The fourth proportional to 2,422.68, 3,344.25 and 1,538.97 is: 2,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.68 : 3,344.25 = 1,538.97 : x
  2. Step 2: Convert to fraction form
    2,422.68/3,344.25 = 1,538.97/x
  3. Step 3: Cross multiply
    2,422.68x = 3,344.25 × 1,538.97
  4. Step 4: Simplify right side
    2,422.68x = 5,146,700.42
  5. Step 5: Solve for x
    x = 5,146,700.42/2,422.68
  6. Step 6: Final answer
    x = 2,124.38

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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.