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Finding the Fourth Proportional to 2,741.43, 4,112.20 and 892.54

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Solution

The fourth proportional to 2,741.43, 4,112.20 and 892.54 is: 1,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.43 : 4,112.20 = 892.54 : x
  2. Step 2: Convert to fraction form
    2,741.43/4,112.20 = 892.54/x
  3. Step 3: Cross multiply
    2,741.43x = 4,112.20 × 892.54
  4. Step 4: Simplify right side
    2,741.43x = 3,670,309.24
  5. Step 5: Solve for x
    x = 3,670,309.24/2,741.43
  6. Step 6: Final answer
    x = 1,338.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.