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Finding the Fourth Proportional to 2,068.41, 3,100.79 and 768.97

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Solution

The fourth proportional to 2,068.41, 3,100.79 and 768.97 is: 1,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.41 : 3,100.79 = 768.97 : x
  2. Step 2: Convert to fraction form
    2,068.41/3,100.79 = 768.97/x
  3. Step 3: Cross multiply
    2,068.41x = 3,100.79 × 768.97
  4. Step 4: Simplify right side
    2,068.41x = 2,384,414.49
  5. Step 5: Solve for x
    x = 2,384,414.49/2,068.41
  6. Step 6: Final answer
    x = 1,152.78

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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.