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Finding the Fourth Proportional to 2,112.03, 2,914.92 and 1,227.92

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Solution

The fourth proportional to 2,112.03, 2,914.92 and 1,227.92 is: 1,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.03 : 2,914.92 = 1,227.92 : x
  2. Step 2: Convert to fraction form
    2,112.03/2,914.92 = 1,227.92/x
  3. Step 3: Cross multiply
    2,112.03x = 2,914.92 × 1,227.92
  4. Step 4: Simplify right side
    2,112.03x = 3,579,273.99
  5. Step 5: Solve for x
    x = 3,579,273.99/2,112.03
  6. Step 6: Final answer
    x = 1,694.71

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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.