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Finding the Fourth Proportional to 3,194.74, 4,408.80 and 1,778.50

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Solution

The fourth proportional to 3,194.74, 4,408.80 and 1,778.50 is: 2,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.74 : 4,408.80 = 1,778.50 : x
  2. Step 2: Convert to fraction form
    3,194.74/4,408.80 = 1,778.50/x
  3. Step 3: Cross multiply
    3,194.74x = 4,408.80 × 1,778.50
  4. Step 4: Simplify right side
    3,194.74x = 7,841,050.80
  5. Step 5: Solve for x
    x = 7,841,050.80/3,194.74
  6. Step 6: Final answer
    x = 2,454.36

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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.