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Finding the Fourth Proportional to 2,863.92, 4,294.44 and 1,219.56

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Solution

The fourth proportional to 2,863.92, 4,294.44 and 1,219.56 is: 1,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.92 : 4,294.44 = 1,219.56 : x
  2. Step 2: Convert to fraction form
    2,863.92/4,294.44 = 1,219.56/x
  3. Step 3: Cross multiply
    2,863.92x = 4,294.44 × 1,219.56
  4. Step 4: Simplify right side
    2,863.92x = 5,237,327.25
  5. Step 5: Solve for x
    x = 5,237,327.25/2,863.92
  6. Step 6: Final answer
    x = 1,828.73

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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.