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Finding the Fourth Proportional to 3,194.46, 4,791.78 and 1,219.47

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Solution

The fourth proportional to 3,194.46, 4,791.78 and 1,219.47 is: 1,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.46 : 4,791.78 = 1,219.47 : x
  2. Step 2: Convert to fraction form
    3,194.46/4,791.78 = 1,219.47/x
  3. Step 3: Cross multiply
    3,194.46x = 4,791.78 × 1,219.47
  4. Step 4: Simplify right side
    3,194.46x = 5,843,431.96
  5. Step 5: Solve for x
    x = 5,843,431.96/3,194.46
  6. Step 6: Final answer
    x = 1,829.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.