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Finding the Fourth Proportional to 2,682.75, 4,023.63 and 734.70

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Solution

The fourth proportional to 2,682.75, 4,023.63 and 734.70 is: 1,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.75 : 4,023.63 = 734.70 : x
  2. Step 2: Convert to fraction form
    2,682.75/4,023.63 = 734.70/x
  3. Step 3: Cross multiply
    2,682.75x = 4,023.63 × 734.70
  4. Step 4: Simplify right side
    2,682.75x = 2,956,160.96
  5. Step 5: Solve for x
    x = 2,956,160.96/2,682.75
  6. Step 6: Final answer
    x = 1,101.91

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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.