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Finding the Fourth Proportional to 2,226.78, 3,340.17 and 1,650.06

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Solution

The fourth proportional to 2,226.78, 3,340.17 and 1,650.06 is: 2,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.78 : 3,340.17 = 1,650.06 : x
  2. Step 2: Convert to fraction form
    2,226.78/3,340.17 = 1,650.06/x
  3. Step 3: Cross multiply
    2,226.78x = 3,340.17 × 1,650.06
  4. Step 4: Simplify right side
    2,226.78x = 5,511,480.91
  5. Step 5: Solve for x
    x = 5,511,480.91/2,226.78
  6. Step 6: Final answer
    x = 2,475.09

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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.