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Finding the Fourth Proportional to 2,645.43, 3,966.98 and 796.20

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Solution

The fourth proportional to 2,645.43, 3,966.98 and 796.20 is: 1,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.43 : 3,966.98 = 796.20 : x
  2. Step 2: Convert to fraction form
    2,645.43/3,966.98 = 796.20/x
  3. Step 3: Cross multiply
    2,645.43x = 3,966.98 × 796.20
  4. Step 4: Simplify right side
    2,645.43x = 3,158,490.62
  5. Step 5: Solve for x
    x = 3,158,490.62/2,645.43
  6. Step 6: Final answer
    x = 1,193.94

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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.