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Finding the Fourth Proportional to 2,820.12, 4,229.92 and 872.13

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Solution

The fourth proportional to 2,820.12, 4,229.92 and 872.13 is: 1,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.12 : 4,229.92 = 872.13 : x
  2. Step 2: Convert to fraction form
    2,820.12/4,229.92 = 872.13/x
  3. Step 3: Cross multiply
    2,820.12x = 4,229.92 × 872.13
  4. Step 4: Simplify right side
    2,820.12x = 3,689,040.13
  5. Step 5: Solve for x
    x = 3,689,040.13/2,820.12
  6. Step 6: Final answer
    x = 1,308.11

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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.