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Finding the Fourth Proportional to 2,843.34, 3,920.38 and 2,371.92

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Solution

The fourth proportional to 2,843.34, 3,920.38 and 2,371.92 is: 3,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.34 : 3,920.38 = 2,371.92 : x
  2. Step 2: Convert to fraction form
    2,843.34/3,920.38 = 2,371.92/x
  3. Step 3: Cross multiply
    2,843.34x = 3,920.38 × 2,371.92
  4. Step 4: Simplify right side
    2,843.34x = 9,298,827.73
  5. Step 5: Solve for x
    x = 9,298,827.73/2,843.34
  6. Step 6: Final answer
    x = 3,270.39

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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.