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Finding the Fourth Proportional to 2,027.46, 3,040.77 and 566.73

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Solution

The fourth proportional to 2,027.46, 3,040.77 and 566.73 is: 849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.46 : 3,040.77 = 566.73 : x
  2. Step 2: Convert to fraction form
    2,027.46/3,040.77 = 566.73/x
  3. Step 3: Cross multiply
    2,027.46x = 3,040.77 × 566.73
  4. Step 4: Simplify right side
    2,027.46x = 1,723,295.58
  5. Step 5: Solve for x
    x = 1,723,295.58/2,027.46
  6. Step 6: Final answer
    x = 849.98

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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.