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Finding the Fourth Proportional to 3,397.83, 4,691.66 and 2,203.38

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Solution

The fourth proportional to 3,397.83, 4,691.66 and 2,203.38 is: 3,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.83 : 4,691.66 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    3,397.83/4,691.66 = 2,203.38/x
  3. Step 3: Cross multiply
    3,397.83x = 4,691.66 × 2,203.38
  4. Step 4: Simplify right side
    3,397.83x = 10,337,498.79
  5. Step 5: Solve for x
    x = 10,337,498.79/3,397.83
  6. Step 6: Final answer
    x = 3,042.39

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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.