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Finding the Fourth Proportional to 1,884.70, 2,822.73 and 1,843.66

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Solution

The fourth proportional to 1,884.70, 2,822.73 and 1,843.66 is: 2,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.70 : 2,822.73 = 1,843.66 : x
  2. Step 2: Convert to fraction form
    1,884.70/2,822.73 = 1,843.66/x
  3. Step 3: Cross multiply
    1,884.70x = 2,822.73 × 1,843.66
  4. Step 4: Simplify right side
    1,884.70x = 5,204,154.39
  5. Step 5: Solve for x
    x = 5,204,154.39/1,884.70
  6. Step 6: Final answer
    x = 2,761.26

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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.