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Finding the Fourth Proportional to 2,227.63, 3,074.46 and 1,343.92

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Solution

The fourth proportional to 2,227.63, 3,074.46 and 1,343.92 is: 1,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.63 : 3,074.46 = 1,343.92 : x
  2. Step 2: Convert to fraction form
    2,227.63/3,074.46 = 1,343.92/x
  3. Step 3: Cross multiply
    2,227.63x = 3,074.46 × 1,343.92
  4. Step 4: Simplify right side
    2,227.63x = 4,131,828.28
  5. Step 5: Solve for x
    x = 4,131,828.28/2,227.63
  6. Step 6: Final answer
    x = 1,854.81

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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.