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Finding the Fourth Proportional to 3,192.74, 4,789.11 and 884.24

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Solution

The fourth proportional to 3,192.74, 4,789.11 and 884.24 is: 1,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.74 : 4,789.11 = 884.24 : x
  2. Step 2: Convert to fraction form
    3,192.74/4,789.11 = 884.24/x
  3. Step 3: Cross multiply
    3,192.74x = 4,789.11 × 884.24
  4. Step 4: Simplify right side
    3,192.74x = 4,234,716.64
  5. Step 5: Solve for x
    x = 4,234,716.64/3,192.74
  6. Step 6: Final answer
    x = 1,326.36

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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.