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Finding the Fourth Proportional to 1,227.24, 1,840.92 and 361.56

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Solution

The fourth proportional to 1,227.24, 1,840.92 and 361.56 is: 542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.24 : 1,840.92 = 361.56 : x
  2. Step 2: Convert to fraction form
    1,227.24/1,840.92 = 361.56/x
  3. Step 3: Cross multiply
    1,227.24x = 1,840.92 × 361.56
  4. Step 4: Simplify right side
    1,227.24x = 665,603.04
  5. Step 5: Solve for x
    x = 665,603.04/1,227.24
  6. Step 6: Final answer
    x = 542.36

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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.