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Finding the Fourth Proportional to 2,782.69, 4,171.25 and 1,391.78

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Solution

The fourth proportional to 2,782.69, 4,171.25 and 1,391.78 is: 2,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.69 : 4,171.25 = 1,391.78 : x
  2. Step 2: Convert to fraction form
    2,782.69/4,171.25 = 1,391.78/x
  3. Step 3: Cross multiply
    2,782.69x = 4,171.25 × 1,391.78
  4. Step 4: Simplify right side
    2,782.69x = 5,805,441.47
  5. Step 5: Solve for x
    x = 5,805,441.47/2,782.69
  6. Step 6: Final answer
    x = 2,086.27

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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.