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Finding the Fourth Proportional to 2,042.67, 3,063.58 and 581.43

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Solution

The fourth proportional to 2,042.67, 3,063.58 and 581.43 is: 872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.67 : 3,063.58 = 581.43 : x
  2. Step 2: Convert to fraction form
    2,042.67/3,063.58 = 581.43/x
  3. Step 3: Cross multiply
    2,042.67x = 3,063.58 × 581.43
  4. Step 4: Simplify right side
    2,042.67x = 1,781,257.32
  5. Step 5: Solve for x
    x = 1,781,257.32/2,042.67
  6. Step 6: Final answer
    x = 872.02

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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.