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Finding the Fourth Proportional to 2,767.74, 4,152.31 and 819.94

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Solution

The fourth proportional to 2,767.74, 4,152.31 and 819.94 is: 1,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.74 : 4,152.31 = 819.94 : x
  2. Step 2: Convert to fraction form
    2,767.74/4,152.31 = 819.94/x
  3. Step 3: Cross multiply
    2,767.74x = 4,152.31 × 819.94
  4. Step 4: Simplify right side
    2,767.74x = 3,404,645.06
  5. Step 5: Solve for x
    x = 3,404,645.06/2,767.74
  6. Step 6: Final answer
    x = 1,230.12

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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.