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Finding the Fourth Proportional to 2,042.02, 3,063.21 and 581.20

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Solution

The fourth proportional to 2,042.02, 3,063.21 and 581.20 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.02 : 3,063.21 = 581.20 : x
  2. Step 2: Convert to fraction form
    2,042.02/3,063.21 = 581.20/x
  3. Step 3: Cross multiply
    2,042.02x = 3,063.21 × 581.20
  4. Step 4: Simplify right side
    2,042.02x = 1,780,337.65
  5. Step 5: Solve for x
    x = 1,780,337.65/2,042.02
  6. Step 6: Final answer
    x = 871.85

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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.