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Finding the Fourth Proportional to 3,142.19, 4,713.89 and 1,195.76

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Solution

The fourth proportional to 3,142.19, 4,713.89 and 1,195.76 is: 1,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.19 : 4,713.89 = 1,195.76 : x
  2. Step 2: Convert to fraction form
    3,142.19/4,713.89 = 1,195.76/x
  3. Step 3: Cross multiply
    3,142.19x = 4,713.89 × 1,195.76
  4. Step 4: Simplify right side
    3,142.19x = 5,636,651.56
  5. Step 5: Solve for x
    x = 5,636,651.56/3,142.19
  6. Step 6: Final answer
    x = 1,793.86

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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.