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Finding the Fourth Proportional to 3,193.04, 4,789.02 and 884

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Solution

The fourth proportional to 3,193.04, 4,789.02 and 884 is: 1,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.04 : 4,789.02 = 884 : x
  2. Step 2: Convert to fraction form
    3,193.04/4,789.02 = 884/x
  3. Step 3: Cross multiply
    3,193.04x = 4,789.02 × 884
  4. Step 4: Simplify right side
    3,193.04x = 4,233,493.68
  5. Step 5: Solve for x
    x = 4,233,493.68/3,193.04
  6. Step 6: Final answer
    x = 1,325.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.