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Finding the Fourth Proportional to 2,092.43, 3,136.21 and 935.75

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Solution

The fourth proportional to 2,092.43, 3,136.21 and 935.75 is: 1,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.43 : 3,136.21 = 935.75 : x
  2. Step 2: Convert to fraction form
    2,092.43/3,136.21 = 935.75/x
  3. Step 3: Cross multiply
    2,092.43x = 3,136.21 × 935.75
  4. Step 4: Simplify right side
    2,092.43x = 2,934,708.51
  5. Step 5: Solve for x
    x = 2,934,708.51/2,092.43
  6. Step 6: Final answer
    x = 1,402.54

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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.