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Finding the Fourth Proportional to 2,493.63, 3,741.26 and 1,194.39

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Solution

The fourth proportional to 2,493.63, 3,741.26 and 1,194.39 is: 1,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.63 : 3,741.26 = 1,194.39 : x
  2. Step 2: Convert to fraction form
    2,493.63/3,741.26 = 1,194.39/x
  3. Step 3: Cross multiply
    2,493.63x = 3,741.26 × 1,194.39
  4. Step 4: Simplify right side
    2,493.63x = 4,468,517.56
  5. Step 5: Solve for x
    x = 4,468,517.56/2,493.63
  6. Step 6: Final answer
    x = 1,791.97

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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.