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Finding the Fourth Proportional to 2,675.07, 4,012.31 and 727.43

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Solution

The fourth proportional to 2,675.07, 4,012.31 and 727.43 is: 1,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.07 : 4,012.31 = 727.43 : x
  2. Step 2: Convert to fraction form
    2,675.07/4,012.31 = 727.43/x
  3. Step 3: Cross multiply
    2,675.07x = 4,012.31 × 727.43
  4. Step 4: Simplify right side
    2,675.07x = 2,918,650.96
  5. Step 5: Solve for x
    x = 2,918,650.96/2,675.07
  6. Step 6: Final answer
    x = 1,091.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.