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Finding the Fourth Proportional to 2,092, 3,138 and 724

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Solution

The fourth proportional to 2,092, 3,138 and 724 is: 1,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 3,138 = 724 : x
  2. Step 2: Convert to fraction form
    2,092/3,138 = 724/x
  3. Step 3: Cross multiply
    2,092x = 3,138 × 724
  4. Step 4: Simplify right side
    2,092x = 2,271,912
  5. Step 5: Solve for x
    x = 2,271,912/2,092
  6. Step 6: Final answer
    x = 1,086

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.