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Finding the Fourth Proportional to 1,227.74, 1,841.40 and 361.85

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Solution

The fourth proportional to 1,227.74, 1,841.40 and 361.85 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.74 : 1,841.40 = 361.85 : x
  2. Step 2: Convert to fraction form
    1,227.74/1,841.40 = 361.85/x
  3. Step 3: Cross multiply
    1,227.74x = 1,841.40 × 361.85
  4. Step 4: Simplify right side
    1,227.74x = 666,301.38
  5. Step 5: Solve for x
    x = 666,301.38/1,227.74
  6. Step 6: Final answer
    x = 542.71

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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.