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Finding the Fourth Proportional to 2,824.98, 4,236.73 and 850.08

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Solution

The fourth proportional to 2,824.98, 4,236.73 and 850.08 is: 1,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.98 : 4,236.73 = 850.08 : x
  2. Step 2: Convert to fraction form
    2,824.98/4,236.73 = 850.08/x
  3. Step 3: Cross multiply
    2,824.98x = 4,236.73 × 850.08
  4. Step 4: Simplify right side
    2,824.98x = 3,601,559.44
  5. Step 5: Solve for x
    x = 3,601,559.44/2,824.98
  6. Step 6: Final answer
    x = 1,274.90

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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.