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Finding the Fourth Proportional to 2,682.24, 4,023.45 and 734.44

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Solution

The fourth proportional to 2,682.24, 4,023.45 and 734.44 is: 1,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.24 : 4,023.45 = 734.44 : x
  2. Step 2: Convert to fraction form
    2,682.24/4,023.45 = 734.44/x
  3. Step 3: Cross multiply
    2,682.24x = 4,023.45 × 734.44
  4. Step 4: Simplify right side
    2,682.24x = 2,954,982.62
  5. Step 5: Solve for x
    x = 2,954,982.62/2,682.24
  6. Step 6: Final answer
    x = 1,101.68

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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.