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Finding the Fourth Proportional to 2,786.27, 3,841.74 and 2,287.31

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Solution

The fourth proportional to 2,786.27, 3,841.74 and 2,287.31 is: 3,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.27 : 3,841.74 = 2,287.31 : x
  2. Step 2: Convert to fraction form
    2,786.27/3,841.74 = 2,287.31/x
  3. Step 3: Cross multiply
    2,786.27x = 3,841.74 × 2,287.31
  4. Step 4: Simplify right side
    2,786.27x = 8,787,231.11
  5. Step 5: Solve for x
    x = 8,787,231.11/2,786.27
  6. Step 6: Final answer
    x = 3,153.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.