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Finding the Fourth Proportional to 2,754.02, 4,129.79 and 806.37

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Solution

The fourth proportional to 2,754.02, 4,129.79 and 806.37 is: 1,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.02 : 4,129.79 = 806.37 : x
  2. Step 2: Convert to fraction form
    2,754.02/4,129.79 = 806.37/x
  3. Step 3: Cross multiply
    2,754.02x = 4,129.79 × 806.37
  4. Step 4: Simplify right side
    2,754.02x = 3,330,134.73
  5. Step 5: Solve for x
    x = 3,330,134.73/2,754.02
  6. Step 6: Final answer
    x = 1,209.19

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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.