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Finding the Fourth Proportional to 3,194.82, 4,408.74 and 1,778.46

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Solution

The fourth proportional to 3,194.82, 4,408.74 and 1,778.46 is: 2,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.82 : 4,408.74 = 1,778.46 : x
  2. Step 2: Convert to fraction form
    3,194.82/4,408.74 = 1,778.46/x
  3. Step 3: Cross multiply
    3,194.82x = 4,408.74 × 1,778.46
  4. Step 4: Simplify right side
    3,194.82x = 7,840,767.74
  5. Step 5: Solve for x
    x = 7,840,767.74/3,194.82
  6. Step 6: Final answer
    x = 2,454.21

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