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Finding the Fourth Proportional to 2,236.28, 3,354.46 and 850.26

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Solution

The fourth proportional to 2,236.28, 3,354.46 and 850.26 is: 1,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.28 : 3,354.46 = 850.26 : x
  2. Step 2: Convert to fraction form
    2,236.28/3,354.46 = 850.26/x
  3. Step 3: Cross multiply
    2,236.28x = 3,354.46 × 850.26
  4. Step 4: Simplify right side
    2,236.28x = 2,852,161.03
  5. Step 5: Solve for x
    x = 2,852,161.03/2,236.28
  6. Step 6: Final answer
    x = 1,275.41

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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.