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Finding the Fourth Proportional to 2,021.23, 3,031.97 and 634.62

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Solution

The fourth proportional to 2,021.23, 3,031.97 and 634.62 is: 951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.23 : 3,031.97 = 634.62 : x
  2. Step 2: Convert to fraction form
    2,021.23/3,031.97 = 634.62/x
  3. Step 3: Cross multiply
    2,021.23x = 3,031.97 × 634.62
  4. Step 4: Simplify right side
    2,021.23x = 1,924,130.47
  5. Step 5: Solve for x
    x = 1,924,130.47/2,021.23
  6. Step 6: Final answer
    x = 951.96

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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.