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Finding the Fourth Proportional to 1,996.44, 2,995.29 and 826.99

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Solution

The fourth proportional to 1,996.44, 2,995.29 and 826.99 is: 1,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.44 : 2,995.29 = 826.99 : x
  2. Step 2: Convert to fraction form
    1,996.44/2,995.29 = 826.99/x
  3. Step 3: Cross multiply
    1,996.44x = 2,995.29 × 826.99
  4. Step 4: Simplify right side
    1,996.44x = 2,477,086.35
  5. Step 5: Solve for x
    x = 2,477,086.35/1,996.44
  6. Step 6: Final answer
    x = 1,240.75

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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.