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Finding the Fourth Proportional to 1,996.01, 2,754.90 and 1,199.37

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Solution

The fourth proportional to 1,996.01, 2,754.90 and 1,199.37 is: 1,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.01 : 2,754.90 = 1,199.37 : x
  2. Step 2: Convert to fraction form
    1,996.01/2,754.90 = 1,199.37/x
  3. Step 3: Cross multiply
    1,996.01x = 2,754.90 × 1,199.37
  4. Step 4: Simplify right side
    1,996.01x = 3,304,144.41
  5. Step 5: Solve for x
    x = 3,304,144.41/1,996.01
  6. Step 6: Final answer
    x = 1,655.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.