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Finding the Fourth Proportional to 2,767.19, 4,150.77 and 819.23

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Solution

The fourth proportional to 2,767.19, 4,150.77 and 819.23 is: 1,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.19 : 4,150.77 = 819.23 : x
  2. Step 2: Convert to fraction form
    2,767.19/4,150.77 = 819.23/x
  3. Step 3: Cross multiply
    2,767.19x = 4,150.77 × 819.23
  4. Step 4: Simplify right side
    2,767.19x = 3,400,414.55
  5. Step 5: Solve for x
    x = 3,400,414.55/2,767.19
  6. Step 6: Final answer
    x = 1,228.84

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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.