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Finding the Fourth Proportional to 2,021.21, 3,031.85 and 851.23

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Solution

The fourth proportional to 2,021.21, 3,031.85 and 851.23 is: 1,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.21 : 3,031.85 = 851.23 : x
  2. Step 2: Convert to fraction form
    2,021.21/3,031.85 = 851.23/x
  3. Step 3: Cross multiply
    2,021.21x = 3,031.85 × 851.23
  4. Step 4: Simplify right side
    2,021.21x = 2,580,801.68
  5. Step 5: Solve for x
    x = 2,580,801.68/2,021.21
  6. Step 6: Final answer
    x = 1,276.86

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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.