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Finding the Fourth Proportional to 2,042.56, 3,063.50 and 581.37

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Solution

The fourth proportional to 2,042.56, 3,063.50 and 581.37 is: 871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.56 : 3,063.50 = 581.37 : x
  2. Step 2: Convert to fraction form
    2,042.56/3,063.50 = 581.37/x
  3. Step 3: Cross multiply
    2,042.56x = 3,063.50 × 581.37
  4. Step 4: Simplify right side
    2,042.56x = 1,781,018.05
  5. Step 5: Solve for x
    x = 1,781,018.05/2,042.56
  6. Step 6: Final answer
    x = 871.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.