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Finding the Fourth Proportional to 2,042.18, 3,063.26 and 581.33

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Solution

The fourth proportional to 2,042.18, 3,063.26 and 581.33 is: 871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.18 : 3,063.26 = 581.33 : x
  2. Step 2: Convert to fraction form
    2,042.18/3,063.26 = 581.33/x
  3. Step 3: Cross multiply
    2,042.18x = 3,063.26 × 581.33
  4. Step 4: Simplify right side
    2,042.18x = 1,780,755.18
  5. Step 5: Solve for x
    x = 1,780,755.18/2,042.18
  6. Step 6: Final answer
    x = 871.99

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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.