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Finding the Fourth Proportional to 2,832.08, 4,247.84 and 884.28

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Solution

The fourth proportional to 2,832.08, 4,247.84 and 884.28 is: 1,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.08 : 4,247.84 = 884.28 : x
  2. Step 2: Convert to fraction form
    2,832.08/4,247.84 = 884.28/x
  3. Step 3: Cross multiply
    2,832.08x = 4,247.84 × 884.28
  4. Step 4: Simplify right side
    2,832.08x = 3,756,279.96
  5. Step 5: Solve for x
    x = 3,756,279.96/2,832.08
  6. Step 6: Final answer
    x = 1,326.33

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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.