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Finding the Fourth Proportional to 3,193.24, 4,789.86 and 884.74

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Solution

The fourth proportional to 3,193.24, 4,789.86 and 884.74 is: 1,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.24 : 4,789.86 = 884.74 : x
  2. Step 2: Convert to fraction form
    3,193.24/4,789.86 = 884.74/x
  3. Step 3: Cross multiply
    3,193.24x = 4,789.86 × 884.74
  4. Step 4: Simplify right side
    3,193.24x = 4,237,780.74
  5. Step 5: Solve for x
    x = 4,237,780.74/3,193.24
  6. Step 6: Final answer
    x = 1,327.11

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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.