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Finding the Fourth Proportional to 2,741.42, 4,112.21 and 892.55

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Solution

The fourth proportional to 2,741.42, 4,112.21 and 892.55 is: 1,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.42 : 4,112.21 = 892.55 : x
  2. Step 2: Convert to fraction form
    2,741.42/4,112.21 = 892.55/x
  3. Step 3: Cross multiply
    2,741.42x = 4,112.21 × 892.55
  4. Step 4: Simplify right side
    2,741.42x = 3,670,365.55
  5. Step 5: Solve for x
    x = 3,670,365.55/2,741.42
  6. Step 6: Final answer
    x = 1,338.85

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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.