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Finding the Fourth Proportional to 2,144.96, 3,217.34 and 664.13

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Solution

The fourth proportional to 2,144.96, 3,217.34 and 664.13 is: 996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.96 : 3,217.34 = 664.13 : x
  2. Step 2: Convert to fraction form
    2,144.96/3,217.34 = 664.13/x
  3. Step 3: Cross multiply
    2,144.96x = 3,217.34 × 664.13
  4. Step 4: Simplify right side
    2,144.96x = 2,136,712.61
  5. Step 5: Solve for x
    x = 2,136,712.61/2,144.96
  6. Step 6: Final answer
    x = 996.16

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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.