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Finding the Fourth Proportional to 2,042.31, 3,064.62 and 872.20

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Solution

The fourth proportional to 2,042.31, 3,064.62 and 872.20 is: 1,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.31 : 3,064.62 = 872.20 : x
  2. Step 2: Convert to fraction form
    2,042.31/3,064.62 = 872.20/x
  3. Step 3: Cross multiply
    2,042.31x = 3,064.62 × 872.20
  4. Step 4: Simplify right side
    2,042.31x = 2,672,961.56
  5. Step 5: Solve for x
    x = 2,672,961.56/2,042.31
  6. Step 6: Final answer
    x = 1,308.79

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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.