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Finding the Fourth Proportional to 2,785.62, 3,839.49 and 2,224.29

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Solution

The fourth proportional to 2,785.62, 3,839.49 and 2,224.29 is: 3,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.62 : 3,839.49 = 2,224.29 : x
  2. Step 2: Convert to fraction form
    2,785.62/3,839.49 = 2,224.29/x
  3. Step 3: Cross multiply
    2,785.62x = 3,839.49 × 2,224.29
  4. Step 4: Simplify right side
    2,785.62x = 8,540,139.21
  5. Step 5: Solve for x
    x = 8,540,139.21/2,785.62
  6. Step 6: Final answer
    x = 3,065.79

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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.