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Finding the Fourth Proportional to 3,189.65, 4,778.96 and 1,729.80

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Solution

The fourth proportional to 3,189.65, 4,778.96 and 1,729.80 is: 2,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.65 : 4,778.96 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    3,189.65/4,778.96 = 1,729.80/x
  3. Step 3: Cross multiply
    3,189.65x = 4,778.96 × 1,729.80
  4. Step 4: Simplify right side
    3,189.65x = 8,266,636.36
  5. Step 5: Solve for x
    x = 8,266,636.36/3,189.65
  6. Step 6: Final answer
    x = 2,591.71

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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.