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Finding the Fourth Proportional to 2,162.09, 3,241.21 and 793.13

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Solution

The fourth proportional to 2,162.09, 3,241.21 and 793.13 is: 1,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.09 : 3,241.21 = 793.13 : x
  2. Step 2: Convert to fraction form
    2,162.09/3,241.21 = 793.13/x
  3. Step 3: Cross multiply
    2,162.09x = 3,241.21 × 793.13
  4. Step 4: Simplify right side
    2,162.09x = 2,570,682.70
  5. Step 5: Solve for x
    x = 2,570,682.70/2,162.09
  6. Step 6: Final answer
    x = 1,188.98

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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.