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Finding the Fourth Proportional to 3,192.80, 4,788.84 and 884

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Solution

The fourth proportional to 3,192.80, 4,788.84 and 884 is: 1,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.80 : 4,788.84 = 884 : x
  2. Step 2: Convert to fraction form
    3,192.80/4,788.84 = 884/x
  3. Step 3: Cross multiply
    3,192.80x = 4,788.84 × 884
  4. Step 4: Simplify right side
    3,192.80x = 4,233,334.56
  5. Step 5: Solve for x
    x = 4,233,334.56/3,192.80
  6. Step 6: Final answer
    x = 1,325.90

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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.