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Finding the Fourth Proportional to 2,872.44, 4,313.52 and 2,227.68

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Solution

The fourth proportional to 2,872.44, 4,313.52 and 2,227.68 is: 3,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.44 : 4,313.52 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    2,872.44/4,313.52 = 2,227.68/x
  3. Step 3: Cross multiply
    2,872.44x = 4,313.52 × 2,227.68
  4. Step 4: Simplify right side
    2,872.44x = 9,609,142.23
  5. Step 5: Solve for x
    x = 9,609,142.23/2,872.44
  6. Step 6: Final answer
    x = 3,345.29

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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.