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Finding the Fourth Proportional to 2,741.22, 4,112.45 and 793.58

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Solution

The fourth proportional to 2,741.22, 4,112.45 and 793.58 is: 1,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.22 : 4,112.45 = 793.58 : x
  2. Step 2: Convert to fraction form
    2,741.22/4,112.45 = 793.58/x
  3. Step 3: Cross multiply
    2,741.22x = 4,112.45 × 793.58
  4. Step 4: Simplify right side
    2,741.22x = 3,263,558.07
  5. Step 5: Solve for x
    x = 3,263,558.07/2,741.22
  6. Step 6: Final answer
    x = 1,190.55

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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.