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Finding the Fourth Proportional to 2,682.96, 4,023.99 and 734.73

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Solution

The fourth proportional to 2,682.96, 4,023.99 and 734.73 is: 1,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.96 : 4,023.99 = 734.73 : x
  2. Step 2: Convert to fraction form
    2,682.96/4,023.99 = 734.73/x
  3. Step 3: Cross multiply
    2,682.96x = 4,023.99 × 734.73
  4. Step 4: Simplify right side
    2,682.96x = 2,956,546.17
  5. Step 5: Solve for x
    x = 2,956,546.17/2,682.96
  6. Step 6: Final answer
    x = 1,101.97

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Why These Related Problems?

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