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Finding the Fourth Proportional to 3,142.62, 4,713.36 and 1,194.18

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Solution

The fourth proportional to 3,142.62, 4,713.36 and 1,194.18 is: 1,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.62 : 4,713.36 = 1,194.18 : x
  2. Step 2: Convert to fraction form
    3,142.62/4,713.36 = 1,194.18/x
  3. Step 3: Cross multiply
    3,142.62x = 4,713.36 × 1,194.18
  4. Step 4: Simplify right side
    3,142.62x = 5,628,600.24
  5. Step 5: Solve for x
    x = 5,628,600.24/3,142.62
  6. Step 6: Final answer
    x = 1,791.05

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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.