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Finding the Fourth Proportional to 3,194.42, 4,408.38 and 1,778.21

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Solution

The fourth proportional to 3,194.42, 4,408.38 and 1,778.21 is: 2,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.42 : 4,408.38 = 1,778.21 : x
  2. Step 2: Convert to fraction form
    3,194.42/4,408.38 = 1,778.21/x
  3. Step 3: Cross multiply
    3,194.42x = 4,408.38 × 1,778.21
  4. Step 4: Simplify right side
    3,194.42x = 7,838,994.47
  5. Step 5: Solve for x
    x = 7,838,994.47/3,194.42
  6. Step 6: Final answer
    x = 2,453.96

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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.