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Finding the Fourth Proportional to 2,694.68, 4,042 and 845.80

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Solution

The fourth proportional to 2,694.68, 4,042 and 845.80 is: 1,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.68 : 4,042 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,694.68/4,042 = 845.80/x
  3. Step 3: Cross multiply
    2,694.68x = 4,042 × 845.80
  4. Step 4: Simplify right side
    2,694.68x = 3,418,723.60
  5. Step 5: Solve for x
    x = 3,418,723.60/2,694.68
  6. Step 6: Final answer
    x = 1,268.69

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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.