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Finding the Fourth Proportional to 1,996.70, 2,994.84 and 826.88

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Solution

The fourth proportional to 1,996.70, 2,994.84 and 826.88 is: 1,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.70 : 2,994.84 = 826.88 : x
  2. Step 2: Convert to fraction form
    1,996.70/2,994.84 = 826.88/x
  3. Step 3: Cross multiply
    1,996.70x = 2,994.84 × 826.88
  4. Step 4: Simplify right side
    1,996.70x = 2,476,358.33
  5. Step 5: Solve for x
    x = 2,476,358.33/1,996.70
  6. Step 6: Final answer
    x = 1,240.23

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1.5x scale

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.