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Finding the Fourth Proportional to 2,194.10, 3,027.60 and 1,249.91

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Solution

The fourth proportional to 2,194.10, 3,027.60 and 1,249.91 is: 1,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.10 : 3,027.60 = 1,249.91 : x
  2. Step 2: Convert to fraction form
    2,194.10/3,027.60 = 1,249.91/x
  3. Step 3: Cross multiply
    2,194.10x = 3,027.60 × 1,249.91
  4. Step 4: Simplify right side
    2,194.10x = 3,784,212.38
  5. Step 5: Solve for x
    x = 3,784,212.38/2,194.10
  6. Step 6: Final answer
    x = 1,724.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.