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Finding the Fourth Proportional to 2,751.99, 4,127.14 and 996.78

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Solution

The fourth proportional to 2,751.99, 4,127.14 and 996.78 is: 1,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.99 : 4,127.14 = 996.78 : x
  2. Step 2: Convert to fraction form
    2,751.99/4,127.14 = 996.78/x
  3. Step 3: Cross multiply
    2,751.99x = 4,127.14 × 996.78
  4. Step 4: Simplify right side
    2,751.99x = 4,113,850.61
  5. Step 5: Solve for x
    x = 4,113,850.61/2,751.99
  6. Step 6: Final answer
    x = 1,494.86

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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.