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Finding the Fourth Proportional to 2,399.63, 3,311.49 and 1,351.71

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Solution

The fourth proportional to 2,399.63, 3,311.49 and 1,351.71 is: 1,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.63 : 3,311.49 = 1,351.71 : x
  2. Step 2: Convert to fraction form
    2,399.63/3,311.49 = 1,351.71/x
  3. Step 3: Cross multiply
    2,399.63x = 3,311.49 × 1,351.71
  4. Step 4: Simplify right side
    2,399.63x = 4,476,174.15
  5. Step 5: Solve for x
    x = 4,476,174.15/2,399.63
  6. Step 6: Final answer
    x = 1,865.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.