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Finding the Fourth Proportional to 2,141.97, 3,227.58 and 1,906.26

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Solution

The fourth proportional to 2,141.97, 3,227.58 and 1,906.26 is: 2,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.97 : 3,227.58 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    2,141.97/3,227.58 = 1,906.26/x
  3. Step 3: Cross multiply
    2,141.97x = 3,227.58 × 1,906.26
  4. Step 4: Simplify right side
    2,141.97x = 6,152,606.65
  5. Step 5: Solve for x
    x = 6,152,606.65/2,141.97
  6. Step 6: Final answer
    x = 2,872.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.