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Finding the Fourth Proportional to 2,832.58, 4,248.87 and 884.80

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Solution

The fourth proportional to 2,832.58, 4,248.87 and 884.80 is: 1,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.58 : 4,248.87 = 884.80 : x
  2. Step 2: Convert to fraction form
    2,832.58/4,248.87 = 884.80/x
  3. Step 3: Cross multiply
    2,832.58x = 4,248.87 × 884.80
  4. Step 4: Simplify right side
    2,832.58x = 3,759,400.18
  5. Step 5: Solve for x
    x = 3,759,400.18/2,832.58
  6. Step 6: Final answer
    x = 1,327.20

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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.