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Finding the Fourth Proportional to 2,843.35, 3,920.38 and 2,371.93

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Solution

The fourth proportional to 2,843.35, 3,920.38 and 2,371.93 is: 3,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.35 : 3,920.38 = 2,371.93 : x
  2. Step 2: Convert to fraction form
    2,843.35/3,920.38 = 2,371.93/x
  3. Step 3: Cross multiply
    2,843.35x = 3,920.38 × 2,371.93
  4. Step 4: Simplify right side
    2,843.35x = 9,298,866.93
  5. Step 5: Solve for x
    x = 9,298,866.93/2,843.35
  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.