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Finding the Fourth Proportional to 2,021.28, 3,031.68 and 634.56

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Solution

The fourth proportional to 2,021.28, 3,031.68 and 634.56 is: 951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.28 : 3,031.68 = 634.56 : x
  2. Step 2: Convert to fraction form
    2,021.28/3,031.68 = 634.56/x
  3. Step 3: Cross multiply
    2,021.28x = 3,031.68 × 634.56
  4. Step 4: Simplify right side
    2,021.28x = 1,923,782.86
  5. Step 5: Solve for x
    x = 1,923,782.86/2,021.28
  6. Step 6: Final answer
    x = 951.76

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