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Finding the Fourth Proportional to 1,637.44, 2,456.14 and 664.22

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Solution

The fourth proportional to 1,637.44, 2,456.14 and 664.22 is: 996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.44 : 2,456.14 = 664.22 : x
  2. Step 2: Convert to fraction form
    1,637.44/2,456.14 = 664.22/x
  3. Step 3: Cross multiply
    1,637.44x = 2,456.14 × 664.22
  4. Step 4: Simplify right side
    1,637.44x = 1,631,417.31
  5. Step 5: Solve for x
    x = 1,631,417.31/1,637.44
  6. Step 6: Final answer
    x = 996.32

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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.