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Finding the Fourth Proportional to 2,120.82, 3,181.31 and 581.82

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Solution

The fourth proportional to 2,120.82, 3,181.31 and 581.82 is: 872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.82 : 3,181.31 = 581.82 : x
  2. Step 2: Convert to fraction form
    2,120.82/3,181.31 = 581.82/x
  3. Step 3: Cross multiply
    2,120.82x = 3,181.31 × 581.82
  4. Step 4: Simplify right side
    2,120.82x = 1,850,933.88
  5. Step 5: Solve for x
    x = 1,850,933.88/2,120.82
  6. Step 6: Final answer
    x = 872.75

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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.