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Finding the Fourth Proportional to 2,093.67, 3,142.01 and 1,687.71

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Solution

The fourth proportional to 2,093.67, 3,142.01 and 1,687.71 is: 2,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.67 : 3,142.01 = 1,687.71 : x
  2. Step 2: Convert to fraction form
    2,093.67/3,142.01 = 1,687.71/x
  3. Step 3: Cross multiply
    2,093.67x = 3,142.01 × 1,687.71
  4. Step 4: Simplify right side
    2,093.67x = 5,302,801.70
  5. Step 5: Solve for x
    x = 5,302,801.70/2,093.67
  6. Step 6: Final answer
    x = 2,532.78

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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.