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Finding the Fourth Proportional to 2,042.22, 3,062.97 and 581.34

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Solution

The fourth proportional to 2,042.22, 3,062.97 and 581.34 is: 871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.22 : 3,062.97 = 581.34 : x
  2. Step 2: Convert to fraction form
    2,042.22/3,062.97 = 581.34/x
  3. Step 3: Cross multiply
    2,042.22x = 3,062.97 × 581.34
  4. Step 4: Simplify right side
    2,042.22x = 1,780,626.98
  5. Step 5: Solve for x
    x = 1,780,626.98/2,042.22
  6. Step 6: Final answer
    x = 871.91

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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.