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Finding the Fourth Proportional to 2,862.69, 4,286.75 and 2,399.37

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Solution

The fourth proportional to 2,862.69, 4,286.75 and 2,399.37 is: 3,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.69 : 4,286.75 = 2,399.37 : x
  2. Step 2: Convert to fraction form
    2,862.69/4,286.75 = 2,399.37/x
  3. Step 3: Cross multiply
    2,862.69x = 4,286.75 × 2,399.37
  4. Step 4: Simplify right side
    2,862.69x = 10,285,487.35
  5. Step 5: Solve for x
    x = 10,285,487.35/2,862.69
  6. Step 6: Final answer
    x = 3,592.94

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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.