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Finding the Fourth Proportional to 2,311.38, 3,464.91 and 850.14

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Solution

The fourth proportional to 2,311.38, 3,464.91 and 850.14 is: 1,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.38 : 3,464.91 = 850.14 : x
  2. Step 2: Convert to fraction form
    2,311.38/3,464.91 = 850.14/x
  3. Step 3: Cross multiply
    2,311.38x = 3,464.91 × 850.14
  4. Step 4: Simplify right side
    2,311.38x = 2,945,658.59
  5. Step 5: Solve for x
    x = 2,945,658.59/2,311.38
  6. Step 6: Final answer
    x = 1,274.42

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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.