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Finding the Fourth Proportional to 2,249.85, 3,104.77 and 1,241.56

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Solution

The fourth proportional to 2,249.85, 3,104.77 and 1,241.56 is: 1,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.85 : 3,104.77 = 1,241.56 : x
  2. Step 2: Convert to fraction form
    2,249.85/3,104.77 = 1,241.56/x
  3. Step 3: Cross multiply
    2,249.85x = 3,104.77 × 1,241.56
  4. Step 4: Simplify right side
    2,249.85x = 3,854,762.90
  5. Step 5: Solve for x
    x = 3,854,762.90/2,249.85
  6. Step 6: Final answer
    x = 1,713.34

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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.