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Finding the Fourth Proportional to 3,194.75, 4,408.87 and 1,778.57

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Solution

The fourth proportional to 3,194.75, 4,408.87 and 1,778.57 is: 2,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.75 : 4,408.87 = 1,778.57 : x
  2. Step 2: Convert to fraction form
    3,194.75/4,408.87 = 1,778.57/x
  3. Step 3: Cross multiply
    3,194.75x = 4,408.87 × 1,778.57
  4. Step 4: Simplify right side
    3,194.75x = 7,841,483.92
  5. Step 5: Solve for x
    x = 7,841,483.92/3,194.75
  6. Step 6: Final answer
    x = 2,454.49

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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.