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Finding the Fourth Proportional to 2,754.06, 4,131.05 and 905.19

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Solution

The fourth proportional to 2,754.06, 4,131.05 and 905.19 is: 1,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.06 : 4,131.05 = 905.19 : x
  2. Step 2: Convert to fraction form
    2,754.06/4,131.05 = 905.19/x
  3. Step 3: Cross multiply
    2,754.06x = 4,131.05 × 905.19
  4. Step 4: Simplify right side
    2,754.06x = 3,739,380.62
  5. Step 5: Solve for x
    x = 3,739,380.62/2,754.06
  6. Step 6: Final answer
    x = 1,357.77

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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.