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Finding the Fourth Proportional to 2,754.46, 4,131.28 and 905.64

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Solution

The fourth proportional to 2,754.46, 4,131.28 and 905.64 is: 1,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.46 : 4,131.28 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,754.46/4,131.28 = 905.64/x
  3. Step 3: Cross multiply
    2,754.46x = 4,131.28 × 905.64
  4. Step 4: Simplify right side
    2,754.46x = 3,741,452.42
  5. Step 5: Solve for x
    x = 3,741,452.42/2,754.46
  6. Step 6: Final answer
    x = 1,358.33

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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.