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Finding the Fourth Proportional to 2,789.07, 4,182.73 and 939.75

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Solution

The fourth proportional to 2,789.07, 4,182.73 and 939.75 is: 1,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.07 : 4,182.73 = 939.75 : x
  2. Step 2: Convert to fraction form
    2,789.07/4,182.73 = 939.75/x
  3. Step 3: Cross multiply
    2,789.07x = 4,182.73 × 939.75
  4. Step 4: Simplify right side
    2,789.07x = 3,930,720.52
  5. Step 5: Solve for x
    x = 3,930,720.52/2,789.07
  6. Step 6: Final answer
    x = 1,409.33

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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.