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Finding the Fourth Proportional to 2,027.16, 3,040.82 and 566.44

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Solution

The fourth proportional to 2,027.16, 3,040.82 and 566.44 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.16 : 3,040.82 = 566.44 : x
  2. Step 2: Convert to fraction form
    2,027.16/3,040.82 = 566.44/x
  3. Step 3: Cross multiply
    2,027.16x = 3,040.82 × 566.44
  4. Step 4: Simplify right side
    2,027.16x = 1,722,442.08
  5. Step 5: Solve for x
    x = 1,722,442.08/2,027.16
  6. Step 6: Final answer
    x = 849.68

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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.