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Finding the Fourth Proportional to 1,996.64, 2,995.32 and 680.26

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Solution

The fourth proportional to 1,996.64, 2,995.32 and 680.26 is: 1,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.64 : 2,995.32 = 680.26 : x
  2. Step 2: Convert to fraction form
    1,996.64/2,995.32 = 680.26/x
  3. Step 3: Cross multiply
    1,996.64x = 2,995.32 × 680.26
  4. Step 4: Simplify right side
    1,996.64x = 2,037,596.38
  5. Step 5: Solve for x
    x = 2,037,596.38/1,996.64
  6. Step 6: Final answer
    x = 1,020.51

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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.