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Finding the Fourth Proportional to 2,042.10, 3,063.19 and 581.29

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Solution

The fourth proportional to 2,042.10, 3,063.19 and 581.29 is: 871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.10 : 3,063.19 = 581.29 : x
  2. Step 2: Convert to fraction form
    2,042.10/3,063.19 = 581.29/x
  3. Step 3: Cross multiply
    2,042.10x = 3,063.19 × 581.29
  4. Step 4: Simplify right side
    2,042.10x = 1,780,601.72
  5. Step 5: Solve for x
    x = 1,780,601.72/2,042.10
  6. Step 6: Final answer
    x = 871.95

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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.