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Finding the Fourth Proportional to 1,791.97, 2,472.08 and 1,162.71

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Solution

The fourth proportional to 1,791.97, 2,472.08 and 1,162.71 is: 1,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.97 : 2,472.08 = 1,162.71 : x
  2. Step 2: Convert to fraction form
    1,791.97/2,472.08 = 1,162.71/x
  3. Step 3: Cross multiply
    1,791.97x = 2,472.08 × 1,162.71
  4. Step 4: Simplify right side
    1,791.97x = 2,874,312.14
  5. Step 5: Solve for x
    x = 2,874,312.14/1,791.97
  6. Step 6: Final answer
    x = 1,604.00

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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.