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Finding the Fourth Proportional to 2,791.71, 3,849.26 and 1,797.03

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Solution

The fourth proportional to 2,791.71, 3,849.26 and 1,797.03 is: 2,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.71 : 3,849.26 = 1,797.03 : x
  2. Step 2: Convert to fraction form
    2,791.71/3,849.26 = 1,797.03/x
  3. Step 3: Cross multiply
    2,791.71x = 3,849.26 × 1,797.03
  4. Step 4: Simplify right side
    2,791.71x = 6,917,226.71
  5. Step 5: Solve for x
    x = 6,917,226.71/2,791.71
  6. Step 6: Final answer
    x = 2,477.77

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Why These Related Problems?

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