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Finding the Fourth Proportional to 2,067.96, 3,102 and 528.96

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Solution

The fourth proportional to 2,067.96, 3,102 and 528.96 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.96 : 3,102 = 528.96 : x
  2. Step 2: Convert to fraction form
    2,067.96/3,102 = 528.96/x
  3. Step 3: Cross multiply
    2,067.96x = 3,102 × 528.96
  4. Step 4: Simplify right side
    2,067.96x = 1,640,833.92
  5. Step 5: Solve for x
    x = 1,640,833.92/2,067.96
  6. Step 6: Final answer
    x = 793.46

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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.