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Finding the Fourth Proportional to 2,020.96, 3,031.48 and 634.26

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Solution

The fourth proportional to 2,020.96, 3,031.48 and 634.26 is: 951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.96 : 3,031.48 = 634.26 : x
  2. Step 2: Convert to fraction form
    2,020.96/3,031.48 = 634.26/x
  3. Step 3: Cross multiply
    2,020.96x = 3,031.48 × 634.26
  4. Step 4: Simplify right side
    2,020.96x = 1,922,752.50
  5. Step 5: Solve for x
    x = 1,922,752.50/2,020.96
  6. Step 6: Final answer
    x = 951.41

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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.