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Finding the Fourth Proportional to 3,190.69, 4,786.27 and 850.69

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Solution

The fourth proportional to 3,190.69, 4,786.27 and 850.69 is: 1,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.69 : 4,786.27 = 850.69 : x
  2. Step 2: Convert to fraction form
    3,190.69/4,786.27 = 850.69/x
  3. Step 3: Cross multiply
    3,190.69x = 4,786.27 × 850.69
  4. Step 4: Simplify right side
    3,190.69x = 4,071,605.97
  5. Step 5: Solve for x
    x = 4,071,605.97/3,190.69
  6. Step 6: Final answer
    x = 1,276.09

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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.