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Finding the Fourth Proportional to 2,782.24, 3,839.22 and 1,662.95

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Solution

The fourth proportional to 2,782.24, 3,839.22 and 1,662.95 is: 2,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.24 : 3,839.22 = 1,662.95 : x
  2. Step 2: Convert to fraction form
    2,782.24/3,839.22 = 1,662.95/x
  3. Step 3: Cross multiply
    2,782.24x = 3,839.22 × 1,662.95
  4. Step 4: Simplify right side
    2,782.24x = 6,384,435.06
  5. Step 5: Solve for x
    x = 6,384,435.06/2,782.24
  6. Step 6: Final answer
    x = 2,294.71

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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.