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Finding the Fourth Proportional to 2,832.56, 4,249.56 and 884.78

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Solution

The fourth proportional to 2,832.56, 4,249.56 and 884.78 is: 1,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.56 : 4,249.56 = 884.78 : x
  2. Step 2: Convert to fraction form
    2,832.56/4,249.56 = 884.78/x
  3. Step 3: Cross multiply
    2,832.56x = 4,249.56 × 884.78
  4. Step 4: Simplify right side
    2,832.56x = 3,759,900.03
  5. Step 5: Solve for x
    x = 3,759,900.03/2,832.56
  6. Step 6: Final answer
    x = 1,327.39

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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.