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Finding the Fourth Proportional to 3,027.45, 4,540.67 and 835.68

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Solution

The fourth proportional to 3,027.45, 4,540.67 and 835.68 is: 1,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.45 : 4,540.67 = 835.68 : x
  2. Step 2: Convert to fraction form
    3,027.45/4,540.67 = 835.68/x
  3. Step 3: Cross multiply
    3,027.45x = 4,540.67 × 835.68
  4. Step 4: Simplify right side
    3,027.45x = 3,794,520.22
  5. Step 5: Solve for x
    x = 3,794,520.22/3,027.45
  6. Step 6: Final answer
    x = 1,253.37

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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.