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Finding the Fourth Proportional to 2,494, 3,741 and 1,126

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Solution

The fourth proportional to 2,494, 3,741 and 1,126 is: 1,689

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494 : 3,741 = 1,126 : x
  2. Step 2: Convert to fraction form
    2,494/3,741 = 1,126/x
  3. Step 3: Cross multiply
    2,494x = 3,741 × 1,126
  4. Step 4: Simplify right side
    2,494x = 4,212,366
  5. Step 5: Solve for x
    x = 4,212,366/2,494
  6. Step 6: Final answer
    x = 1,689

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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.