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Finding the Fourth Proportional to 2,843.83, 4,266.11 and 1,112.23

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Solution

The fourth proportional to 2,843.83, 4,266.11 and 1,112.23 is: 1,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.83 : 4,266.11 = 1,112.23 : x
  2. Step 2: Convert to fraction form
    2,843.83/4,266.11 = 1,112.23/x
  3. Step 3: Cross multiply
    2,843.83x = 4,266.11 × 1,112.23
  4. Step 4: Simplify right side
    2,843.83x = 4,744,895.53
  5. Step 5: Solve for x
    x = 4,744,895.53/2,843.83
  6. Step 6: Final answer
    x = 1,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.