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Finding the Fourth Proportional to 2,694.70, 4,042.68 and 845.80

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Solution

The fourth proportional to 2,694.70, 4,042.68 and 845.80 is: 1,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.70 : 4,042.68 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,694.70/4,042.68 = 845.80/x
  3. Step 3: Cross multiply
    2,694.70x = 4,042.68 × 845.80
  4. Step 4: Simplify right side
    2,694.70x = 3,419,298.74
  5. Step 5: Solve for x
    x = 3,419,298.74/2,694.70
  6. Step 6: Final answer
    x = 1,268.90

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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.