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Finding the Fourth Proportional to 2,843.71, 3,924.20 and 1,850.94

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Solution

The fourth proportional to 2,843.71, 3,924.20 and 1,850.94 is: 2,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 3,924.20 = 1,850.94 : x
  2. Step 2: Convert to fraction form
    2,843.71/3,924.20 = 1,850.94/x
  3. Step 3: Cross multiply
    2,843.71x = 3,924.20 × 1,850.94
  4. Step 4: Simplify right side
    2,843.71x = 7,263,463.38
  5. Step 5: Solve for x
    x = 7,263,463.38/2,843.71
  6. Step 6: Final answer
    x = 2,554.22

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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.