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Finding the Fourth Proportional to 1,791.44, 2,471.44 and 1,292.99

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Solution

The fourth proportional to 1,791.44, 2,471.44 and 1,292.99 is: 1,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.44 : 2,471.44 = 1,292.99 : x
  2. Step 2: Convert to fraction form
    1,791.44/2,471.44 = 1,292.99/x
  3. Step 3: Cross multiply
    1,791.44x = 2,471.44 × 1,292.99
  4. Step 4: Simplify right side
    1,791.44x = 3,195,537.35
  5. Step 5: Solve for x
    x = 3,195,537.35/1,791.44
  6. Step 6: Final answer
    x = 1,783.78

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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.