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Finding the Fourth Proportional to 1,227.58, 1,841.36 and 361.88

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Solution

The fourth proportional to 1,227.58, 1,841.36 and 361.88 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.58 : 1,841.36 = 361.88 : x
  2. Step 2: Convert to fraction form
    1,227.58/1,841.36 = 361.88/x
  3. Step 3: Cross multiply
    1,227.58x = 1,841.36 × 361.88
  4. Step 4: Simplify right side
    1,227.58x = 666,351.36
  5. Step 5: Solve for x
    x = 666,351.36/1,227.58
  6. Step 6: Final answer
    x = 542.82

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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.