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Finding the Fourth Proportional to 2,162.25, 3,244.82 and 794.25

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Solution

The fourth proportional to 2,162.25, 3,244.82 and 794.25 is: 1,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.25 : 3,244.82 = 794.25 : x
  2. Step 2: Convert to fraction form
    2,162.25/3,244.82 = 794.25/x
  3. Step 3: Cross multiply
    2,162.25x = 3,244.82 × 794.25
  4. Step 4: Simplify right side
    2,162.25x = 2,577,194.31
  5. Step 5: Solve for x
    x = 2,577,194.31/2,162.25
  6. Step 6: Final answer
    x = 1,191.90

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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.