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Finding the Fourth Proportional to 1,996.92, 2,994.86 and 827.25

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Solution

The fourth proportional to 1,996.92, 2,994.86 and 827.25 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.92 : 2,994.86 = 827.25 : x
  2. Step 2: Convert to fraction form
    1,996.92/2,994.86 = 827.25/x
  3. Step 3: Cross multiply
    1,996.92x = 2,994.86 × 827.25
  4. Step 4: Simplify right side
    1,996.92x = 2,477,492.52
  5. Step 5: Solve for x
    x = 2,477,492.52/1,996.92
  6. Step 6: Final answer
    x = 1,240.66

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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.