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Finding the Fourth Proportional to 2,872.80, 4,305.58 and 1,227.42

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Solution

The fourth proportional to 2,872.80, 4,305.58 and 1,227.42 is: 1,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.80 : 4,305.58 = 1,227.42 : x
  2. Step 2: Convert to fraction form
    2,872.80/4,305.58 = 1,227.42/x
  3. Step 3: Cross multiply
    2,872.80x = 4,305.58 × 1,227.42
  4. Step 4: Simplify right side
    2,872.80x = 5,284,751.94
  5. Step 5: Solve for x
    x = 5,284,751.94/2,872.80
  6. Step 6: Final answer
    x = 1,839.58

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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.