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Finding the Fourth Proportional to 3,101.43, 4,280.73 and 1,906.71

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Solution

The fourth proportional to 3,101.43, 4,280.73 and 1,906.71 is: 2,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.43 : 4,280.73 = 1,906.71 : x
  2. Step 2: Convert to fraction form
    3,101.43/4,280.73 = 1,906.71/x
  3. Step 3: Cross multiply
    3,101.43x = 4,280.73 × 1,906.71
  4. Step 4: Simplify right side
    3,101.43x = 8,162,110.70
  5. Step 5: Solve for x
    x = 8,162,110.70/3,101.43
  6. Step 6: Final answer
    x = 2,631.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.