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Finding the Fourth Proportional to 2,767.07, 4,150.59 and 819.42

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Solution

The fourth proportional to 2,767.07, 4,150.59 and 819.42 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.07 : 4,150.59 = 819.42 : x
  2. Step 2: Convert to fraction form
    2,767.07/4,150.59 = 819.42/x
  3. Step 3: Cross multiply
    2,767.07x = 4,150.59 × 819.42
  4. Step 4: Simplify right side
    2,767.07x = 3,401,076.46
  5. Step 5: Solve for x
    x = 3,401,076.46/2,767.07
  6. Step 6: Final answer
    x = 1,229.13

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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.