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Finding the Fourth Proportional to 2,135.69, 3,203.97 and 819.39

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Solution

The fourth proportional to 2,135.69, 3,203.97 and 819.39 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.69 : 3,203.97 = 819.39 : x
  2. Step 2: Convert to fraction form
    2,135.69/3,203.97 = 819.39/x
  3. Step 3: Cross multiply
    2,135.69x = 3,203.97 × 819.39
  4. Step 4: Simplify right side
    2,135.69x = 2,625,300.98
  5. Step 5: Solve for x
    x = 2,625,300.98/2,135.69
  6. Step 6: Final answer
    x = 1,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.