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Finding the Fourth Proportional to 2,682.54, 4,023.78 and 734.75

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Solution

The fourth proportional to 2,682.54, 4,023.78 and 734.75 is: 1,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.54 : 4,023.78 = 734.75 : x
  2. Step 2: Convert to fraction form
    2,682.54/4,023.78 = 734.75/x
  3. Step 3: Cross multiply
    2,682.54x = 4,023.78 × 734.75
  4. Step 4: Simplify right side
    2,682.54x = 2,956,452.24
  5. Step 5: Solve for x
    x = 2,956,452.24/2,682.54
  6. Step 6: Final answer
    x = 1,102.11

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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.