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Finding the Fourth Proportional to 2,762.44, 4,147.75 and 2,713.23

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Solution

The fourth proportional to 2,762.44, 4,147.75 and 2,713.23 is: 4,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.44 : 4,147.75 = 2,713.23 : x
  2. Step 2: Convert to fraction form
    2,762.44/4,147.75 = 2,713.23/x
  3. Step 3: Cross multiply
    2,762.44x = 4,147.75 × 2,713.23
  4. Step 4: Simplify right side
    2,762.44x = 11,253,799.73
  5. Step 5: Solve for x
    x = 11,253,799.73/2,762.44
  6. Step 6: Final answer
    x = 4,073.86

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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.