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Finding the Fourth Proportional to 2,027.09, 3,039.76 and 857.61

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Solution

The fourth proportional to 2,027.09, 3,039.76 and 857.61 is: 1,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.09 : 3,039.76 = 857.61 : x
  2. Step 2: Convert to fraction form
    2,027.09/3,039.76 = 857.61/x
  3. Step 3: Cross multiply
    2,027.09x = 3,039.76 × 857.61
  4. Step 4: Simplify right side
    2,027.09x = 2,606,928.57
  5. Step 5: Solve for x
    x = 2,606,928.57/2,027.09
  6. Step 6: Final answer
    x = 1,286.04

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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.