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Finding the Fourth Proportional to 2,699.72, 4,047.75 and 850.22

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Solution

The fourth proportional to 2,699.72, 4,047.75 and 850.22 is: 1,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.72 : 4,047.75 = 850.22 : x
  2. Step 2: Convert to fraction form
    2,699.72/4,047.75 = 850.22/x
  3. Step 3: Cross multiply
    2,699.72x = 4,047.75 × 850.22
  4. Step 4: Simplify right side
    2,699.72x = 3,441,478.01
  5. Step 5: Solve for x
    x = 3,441,478.01/2,699.72
  6. Step 6: Final answer
    x = 1,274.75

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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.