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Finding the Fourth Proportional to 2,647.27, 3,967.26 and 2,523.34

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Solution

The fourth proportional to 2,647.27, 3,967.26 and 2,523.34 is: 3,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.27 : 3,967.26 = 2,523.34 : x
  2. Step 2: Convert to fraction form
    2,647.27/3,967.26 = 2,523.34/x
  3. Step 3: Cross multiply
    2,647.27x = 3,967.26 × 2,523.34
  4. Step 4: Simplify right side
    2,647.27x = 10,010,745.85
  5. Step 5: Solve for x
    x = 10,010,745.85/2,647.27
  6. Step 6: Final answer
    x = 3,781.54

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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.