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Finding the Fourth Proportional to 2,164.97, 3,245.01 and 1,067.03

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Solution

The fourth proportional to 2,164.97, 3,245.01 and 1,067.03 is: 1,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.97 : 3,245.01 = 1,067.03 : x
  2. Step 2: Convert to fraction form
    2,164.97/3,245.01 = 1,067.03/x
  3. Step 3: Cross multiply
    2,164.97x = 3,245.01 × 1,067.03
  4. Step 4: Simplify right side
    2,164.97x = 3,462,523.02
  5. Step 5: Solve for x
    x = 3,462,523.02/2,164.97
  6. Step 6: Final answer
    x = 1,599.34

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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.