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Finding the Fourth Proportional to 2,767.84, 4,151.74 and 819.88

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Solution

The fourth proportional to 2,767.84, 4,151.74 and 819.88 is: 1,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.84 : 4,151.74 = 819.88 : x
  2. Step 2: Convert to fraction form
    2,767.84/4,151.74 = 819.88/x
  3. Step 3: Cross multiply
    2,767.84x = 4,151.74 × 819.88
  4. Step 4: Simplify right side
    2,767.84x = 3,403,928.59
  5. Step 5: Solve for x
    x = 3,403,928.59/2,767.84
  6. Step 6: Final answer
    x = 1,229.81

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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.