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Finding the Fourth Proportional to 2,311.62, 3,466.69 and 850.57

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Solution

The fourth proportional to 2,311.62, 3,466.69 and 850.57 is: 1,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.62 : 3,466.69 = 850.57 : x
  2. Step 2: Convert to fraction form
    2,311.62/3,466.69 = 850.57/x
  3. Step 3: Cross multiply
    2,311.62x = 3,466.69 × 850.57
  4. Step 4: Simplify right side
    2,311.62x = 2,948,662.51
  5. Step 5: Solve for x
    x = 2,948,662.51/2,311.62
  6. Step 6: Final answer
    x = 1,275.58

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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.