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Finding the Fourth Proportional to 2,311.66, 3,467.38 and 850.71

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Solution

The fourth proportional to 2,311.66, 3,467.38 and 850.71 is: 1,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.66 : 3,467.38 = 850.71 : x
  2. Step 2: Convert to fraction form
    2,311.66/3,467.38 = 850.71/x
  3. Step 3: Cross multiply
    2,311.66x = 3,467.38 × 850.71
  4. Step 4: Simplify right side
    2,311.66x = 2,949,734.84
  5. Step 5: Solve for x
    x = 2,949,734.84/2,311.66
  6. Step 6: Final answer
    x = 1,276.02

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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.