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Finding the Fourth Proportional to 1,843.97, 2,765.48 and 545.13

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Solution

The fourth proportional to 1,843.97, 2,765.48 and 545.13 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.97 : 2,765.48 = 545.13 : x
  2. Step 2: Convert to fraction form
    1,843.97/2,765.48 = 545.13/x
  3. Step 3: Cross multiply
    1,843.97x = 2,765.48 × 545.13
  4. Step 4: Simplify right side
    1,843.97x = 1,507,543.39
  5. Step 5: Solve for x
    x = 1,507,543.39/1,843.97
  6. Step 6: Final answer
    x = 817.56

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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.