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Finding the Fourth Proportional to 1,996.35, 2,992.68 and 1,020.30

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Solution

The fourth proportional to 1,996.35, 2,992.68 and 1,020.30 is: 1,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.35 : 2,992.68 = 1,020.30 : x
  2. Step 2: Convert to fraction form
    1,996.35/2,992.68 = 1,020.30/x
  3. Step 3: Cross multiply
    1,996.35x = 2,992.68 × 1,020.30
  4. Step 4: Simplify right side
    1,996.35x = 3,053,431.40
  5. Step 5: Solve for x
    x = 3,053,431.40/1,996.35
  6. Step 6: Final answer
    x = 1,529.51

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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.