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Finding the Fourth Proportional to 2,311.89, 3,466.21 and 850.85

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Solution

The fourth proportional to 2,311.89, 3,466.21 and 850.85 is: 1,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.89 : 3,466.21 = 850.85 : x
  2. Step 2: Convert to fraction form
    2,311.89/3,466.21 = 850.85/x
  3. Step 3: Cross multiply
    2,311.89x = 3,466.21 × 850.85
  4. Step 4: Simplify right side
    2,311.89x = 2,949,224.78
  5. Step 5: Solve for x
    x = 2,949,224.78/2,311.89
  6. Step 6: Final answer
    x = 1,275.68

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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.