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Finding the Fourth Proportional to 2,835.91, 3,912.42 and 1,640.68

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Solution

The fourth proportional to 2,835.91, 3,912.42 and 1,640.68 is: 2,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.91 : 3,912.42 = 1,640.68 : x
  2. Step 2: Convert to fraction form
    2,835.91/3,912.42 = 1,640.68/x
  3. Step 3: Cross multiply
    2,835.91x = 3,912.42 × 1,640.68
  4. Step 4: Simplify right side
    2,835.91x = 6,419,029.25
  5. Step 5: Solve for x
    x = 6,419,029.25/2,835.91
  6. Step 6: Final answer
    x = 2,263.48

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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.