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Finding the Fourth Proportional to 2,132.15, 3,197.73 and 815.43

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Solution

The fourth proportional to 2,132.15, 3,197.73 and 815.43 is: 1,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.15 : 3,197.73 = 815.43 : x
  2. Step 2: Convert to fraction form
    2,132.15/3,197.73 = 815.43/x
  3. Step 3: Cross multiply
    2,132.15x = 3,197.73 × 815.43
  4. Step 4: Simplify right side
    2,132.15x = 2,607,524.97
  5. Step 5: Solve for x
    x = 2,607,524.97/2,132.15
  6. Step 6: Final answer
    x = 1,222.96

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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.