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Finding the Fourth Proportional to 3,139.40, 4,711.44 and 1,195.40

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Solution

The fourth proportional to 3,139.40, 4,711.44 and 1,195.40 is: 1,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.40 : 4,711.44 = 1,195.40 : x
  2. Step 2: Convert to fraction form
    3,139.40/4,711.44 = 1,195.40/x
  3. Step 3: Cross multiply
    3,139.40x = 4,711.44 × 1,195.40
  4. Step 4: Simplify right side
    3,139.40x = 5,632,055.38
  5. Step 5: Solve for x
    x = 5,632,055.38/3,139.40
  6. Step 6: Final answer
    x = 1,793.99

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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.