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Finding the Fourth Proportional to 3,189.73, 4,782.75 and 1,239.65

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Solution

The fourth proportional to 3,189.73, 4,782.75 and 1,239.65 is: 1,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.73 : 4,782.75 = 1,239.65 : x
  2. Step 2: Convert to fraction form
    3,189.73/4,782.75 = 1,239.65/x
  3. Step 3: Cross multiply
    3,189.73x = 4,782.75 × 1,239.65
  4. Step 4: Simplify right side
    3,189.73x = 5,928,942.02
  5. Step 5: Solve for x
    x = 5,928,942.02/3,189.73
  6. Step 6: Final answer
    x = 1,858.76

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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.