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Finding the Fourth Proportional to 2,786.36, 3,838.50 and 2,344.28

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Solution

The fourth proportional to 2,786.36, 3,838.50 and 2,344.28 is: 3,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.36 : 3,838.50 = 2,344.28 : x
  2. Step 2: Convert to fraction form
    2,786.36/3,838.50 = 2,344.28/x
  3. Step 3: Cross multiply
    2,786.36x = 3,838.50 × 2,344.28
  4. Step 4: Simplify right side
    2,786.36x = 8,998,518.78
  5. Step 5: Solve for x
    x = 8,998,518.78/2,786.36
  6. Step 6: Final answer
    x = 3,229.49

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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.