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Finding the Fourth Proportional to 2,164.56, 3,244.68 and 1,067.28

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Solution

The fourth proportional to 2,164.56, 3,244.68 and 1,067.28 is: 1,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 3,244.68 = 1,067.28 : x
  2. Step 2: Convert to fraction form
    2,164.56/3,244.68 = 1,067.28/x
  3. Step 3: Cross multiply
    2,164.56x = 3,244.68 × 1,067.28
  4. Step 4: Simplify right side
    2,164.56x = 3,462,982.07
  5. Step 5: Solve for x
    x = 3,462,982.07/2,164.56
  6. Step 6: Final answer
    x = 1,599.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.