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Finding the Fourth Proportional to 2,751.40, 4,126.49 and 996.13

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Solution

The fourth proportional to 2,751.40, 4,126.49 and 996.13 is: 1,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.40 : 4,126.49 = 996.13 : x
  2. Step 2: Convert to fraction form
    2,751.40/4,126.49 = 996.13/x
  3. Step 3: Cross multiply
    2,751.40x = 4,126.49 × 996.13
  4. Step 4: Simplify right side
    2,751.40x = 4,110,494.87
  5. Step 5: Solve for x
    x = 4,110,494.87/2,751.40
  6. Step 6: Final answer
    x = 1,493.97

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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.