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Finding the Fourth Proportional to 1,227.82, 1,841.94 and 362.20

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Solution

The fourth proportional to 1,227.82, 1,841.94 and 362.20 is: 543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.82 : 1,841.94 = 362.20 : x
  2. Step 2: Convert to fraction form
    1,227.82/1,841.94 = 362.20/x
  3. Step 3: Cross multiply
    1,227.82x = 1,841.94 × 362.20
  4. Step 4: Simplify right side
    1,227.82x = 667,150.67
  5. Step 5: Solve for x
    x = 667,150.67/1,227.82
  6. Step 6: Final answer
    x = 543.36

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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.