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Finding the Fourth Proportional to 2,027.75, 3,043.17 and 1,508.94

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Solution

The fourth proportional to 2,027.75, 3,043.17 and 1,508.94 is: 2,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.75 : 3,043.17 = 1,508.94 : x
  2. Step 2: Convert to fraction form
    2,027.75/3,043.17 = 1,508.94/x
  3. Step 3: Cross multiply
    2,027.75x = 3,043.17 × 1,508.94
  4. Step 4: Simplify right side
    2,027.75x = 4,591,960.94
  5. Step 5: Solve for x
    x = 4,591,960.94/2,027.75
  6. Step 6: Final answer
    x = 2,264.57

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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.