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Finding the Fourth Proportional to 1,843.82, 2,766 and 545.12

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Solution

The fourth proportional to 1,843.82, 2,766 and 545.12 is: 817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.82 : 2,766 = 545.12 : x
  2. Step 2: Convert to fraction form
    1,843.82/2,766 = 545.12/x
  3. Step 3: Cross multiply
    1,843.82x = 2,766 × 545.12
  4. Step 4: Simplify right side
    1,843.82x = 1,507,801.92
  5. Step 5: Solve for x
    x = 1,507,801.92/1,843.82
  6. Step 6: Final answer
    x = 817.76

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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.