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Finding the Fourth Proportional to 2,767.35, 4,151.01 and 819.69

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Solution

The fourth proportional to 2,767.35, 4,151.01 and 819.69 is: 1,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.35 : 4,151.01 = 819.69 : x
  2. Step 2: Convert to fraction form
    2,767.35/4,151.01 = 819.69/x
  3. Step 3: Cross multiply
    2,767.35x = 4,151.01 × 819.69
  4. Step 4: Simplify right side
    2,767.35x = 3,402,541.39
  5. Step 5: Solve for x
    x = 3,402,541.39/2,767.35
  6. Step 6: Final answer
    x = 1,229.53

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