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Finding the Fourth Proportional to 2,311.21, 3,468.18 and 850.48

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Solution

The fourth proportional to 2,311.21, 3,468.18 and 850.48 is: 1,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.21 : 3,468.18 = 850.48 : x
  2. Step 2: Convert to fraction form
    2,311.21/3,468.18 = 850.48/x
  3. Step 3: Cross multiply
    2,311.21x = 3,468.18 × 850.48
  4. Step 4: Simplify right side
    2,311.21x = 2,949,617.73
  5. Step 5: Solve for x
    x = 2,949,617.73/2,311.21
  6. Step 6: Final answer
    x = 1,276.22

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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.