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Finding the Fourth Proportional to 2,042.01, 3,063.22 and 581.38

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Solution

The fourth proportional to 2,042.01, 3,063.22 and 581.38 is: 872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.01 : 3,063.22 = 581.38 : x
  2. Step 2: Convert to fraction form
    2,042.01/3,063.22 = 581.38/x
  3. Step 3: Cross multiply
    2,042.01x = 3,063.22 × 581.38
  4. Step 4: Simplify right side
    2,042.01x = 1,780,885.73
  5. Step 5: Solve for x
    x = 1,780,885.73/2,042.01
  6. Step 6: Final answer
    x = 872.12

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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.