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Finding the Fourth Proportional to 2,067.31, 2,849.74 and 1,751.41

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Solution

The fourth proportional to 2,067.31, 2,849.74 and 1,751.41 is: 2,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.31 : 2,849.74 = 1,751.41 : x
  2. Step 2: Convert to fraction form
    2,067.31/2,849.74 = 1,751.41/x
  3. Step 3: Cross multiply
    2,067.31x = 2,849.74 × 1,751.41
  4. Step 4: Simplify right side
    2,067.31x = 4,991,063.13
  5. Step 5: Solve for x
    x = 4,991,063.13/2,067.31
  6. Step 6: Final answer
    x = 2,414.28

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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.