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Finding the Fourth Proportional to 1,227.78, 1,841.67 and 350.37

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Solution

The fourth proportional to 1,227.78, 1,841.67 and 350.37 is: 525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.78 : 1,841.67 = 350.37 : x
  2. Step 2: Convert to fraction form
    1,227.78/1,841.67 = 350.37/x
  3. Step 3: Cross multiply
    1,227.78x = 1,841.67 × 350.37
  4. Step 4: Simplify right side
    1,227.78x = 645,265.92
  5. Step 5: Solve for x
    x = 645,265.92/1,227.78
  6. Step 6: Final answer
    x = 525.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.