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Finding the Fourth Proportional to 1,891.34, 2,834.60 and 850.23

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Solution

The fourth proportional to 1,891.34, 2,834.60 and 850.23 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.34 : 2,834.60 = 850.23 : x
  2. Step 2: Convert to fraction form
    1,891.34/2,834.60 = 850.23/x
  3. Step 3: Cross multiply
    1,891.34x = 2,834.60 × 850.23
  4. Step 4: Simplify right side
    1,891.34x = 2,410,047.79
  5. Step 5: Solve for x
    x = 2,410,047.79/1,891.34
  6. Step 6: Final answer
    x = 1,274.26

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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.