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Finding the Fourth Proportional to 1,638.86, 2,458.31 and 664.29

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Solution

The fourth proportional to 1,638.86, 2,458.31 and 664.29 is: 996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.86 : 2,458.31 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,638.86/2,458.31 = 664.29/x
  3. Step 3: Cross multiply
    1,638.86x = 2,458.31 × 664.29
  4. Step 4: Simplify right side
    1,638.86x = 1,633,027.43
  5. Step 5: Solve for x
    x = 1,633,027.43/1,638.86
  6. Step 6: Final answer
    x = 996.44

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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.