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Finding the Fourth Proportional to 2,843.24, 3,923.22 and 1,601

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Solution

The fourth proportional to 2,843.24, 3,923.22 and 1,601 is: 2,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.24 : 3,923.22 = 1,601 : x
  2. Step 2: Convert to fraction form
    2,843.24/3,923.22 = 1,601/x
  3. Step 3: Cross multiply
    2,843.24x = 3,923.22 × 1,601
  4. Step 4: Simplify right side
    2,843.24x = 6,281,075.22
  5. Step 5: Solve for x
    x = 6,281,075.22/2,843.24
  6. Step 6: Final answer
    x = 2,209.13

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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.