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Finding the Fourth Proportional to 3,119.73, 4,304.97 and 1,924.38

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Solution

The fourth proportional to 3,119.73, 4,304.97 and 1,924.38 is: 2,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.73 : 4,304.97 = 1,924.38 : x
  2. Step 2: Convert to fraction form
    3,119.73/4,304.97 = 1,924.38/x
  3. Step 3: Cross multiply
    3,119.73x = 4,304.97 × 1,924.38
  4. Step 4: Simplify right side
    3,119.73x = 8,284,398.17
  5. Step 5: Solve for x
    x = 8,284,398.17/3,119.73
  6. Step 6: Final answer
    x = 2,655.49

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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.