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Finding the Fourth Proportional to 2,682.52, 4,023.96 and 734.80

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Solution

The fourth proportional to 2,682.52, 4,023.96 and 734.80 is: 1,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.52 : 4,023.96 = 734.80 : x
  2. Step 2: Convert to fraction form
    2,682.52/4,023.96 = 734.80/x
  3. Step 3: Cross multiply
    2,682.52x = 4,023.96 × 734.80
  4. Step 4: Simplify right side
    2,682.52x = 2,956,805.81
  5. Step 5: Solve for x
    x = 2,956,805.81/2,682.52
  6. Step 6: Final answer
    x = 1,102.25

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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.