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Finding the Fourth Proportional to 3,121.91, 4,683.14 and 1,366.39

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Solution

The fourth proportional to 3,121.91, 4,683.14 and 1,366.39 is: 2,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.91 : 4,683.14 = 1,366.39 : x
  2. Step 2: Convert to fraction form
    3,121.91/4,683.14 = 1,366.39/x
  3. Step 3: Cross multiply
    3,121.91x = 4,683.14 × 1,366.39
  4. Step 4: Simplify right side
    3,121.91x = 6,398,995.66
  5. Step 5: Solve for x
    x = 6,398,995.66/3,121.91
  6. Step 6: Final answer
    x = 2,049.71

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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.