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Finding the Fourth Proportional to 2,843.99, 3,923.43 and 1,664.54

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Solution

The fourth proportional to 2,843.99, 3,923.43 and 1,664.54 is: 2,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.99 : 3,923.43 = 1,664.54 : x
  2. Step 2: Convert to fraction form
    2,843.99/3,923.43 = 1,664.54/x
  3. Step 3: Cross multiply
    2,843.99x = 3,923.43 × 1,664.54
  4. Step 4: Simplify right side
    2,843.99x = 6,530,686.56
  5. Step 5: Solve for x
    x = 6,530,686.56/2,843.99
  6. Step 6: Final answer
    x = 2,296.32

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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.