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Finding the Fourth Proportional to 2,651.91, 3,660.83 and 2,022.49

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Solution

The fourth proportional to 2,651.91, 3,660.83 and 2,022.49 is: 2,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.91 : 3,660.83 = 2,022.49 : x
  2. Step 2: Convert to fraction form
    2,651.91/3,660.83 = 2,022.49/x
  3. Step 3: Cross multiply
    2,651.91x = 3,660.83 × 2,022.49
  4. Step 4: Simplify right side
    2,651.91x = 7,403,981.95
  5. Step 5: Solve for x
    x = 7,403,981.95/2,651.91
  6. Step 6: Final answer
    x = 2,791.95

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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.