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Finding the Fourth Proportional to 2,741.34, 4,112.17 and 793.70

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Solution

The fourth proportional to 2,741.34, 4,112.17 and 793.70 is: 1,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.34 : 4,112.17 = 793.70 : x
  2. Step 2: Convert to fraction form
    2,741.34/4,112.17 = 793.70/x
  3. Step 3: Cross multiply
    2,741.34x = 4,112.17 × 793.70
  4. Step 4: Simplify right side
    2,741.34x = 3,263,822.20
  5. Step 5: Solve for x
    x = 3,263,822.20/2,741.34
  6. Step 6: Final answer
    x = 1,190.59

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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.