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Finding the Fourth Proportional to 2,754.28, 4,130.96 and 905.20

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Solution

The fourth proportional to 2,754.28, 4,130.96 and 905.20 is: 1,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.28 : 4,130.96 = 905.20 : x
  2. Step 2: Convert to fraction form
    2,754.28/4,130.96 = 905.20/x
  3. Step 3: Cross multiply
    2,754.28x = 4,130.96 × 905.20
  4. Step 4: Simplify right side
    2,754.28x = 3,739,344.99
  5. Step 5: Solve for x
    x = 3,739,344.99/2,754.28
  6. Step 6: Final answer
    x = 1,357.65

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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.