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Finding the Fourth Proportional to 2,164.69, 3,247.92 and 1,069.06

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Solution

The fourth proportional to 2,164.69, 3,247.92 and 1,069.06 is: 1,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.69 : 3,247.92 = 1,069.06 : x
  2. Step 2: Convert to fraction form
    2,164.69/3,247.92 = 1,069.06/x
  3. Step 3: Cross multiply
    2,164.69x = 3,247.92 × 1,069.06
  4. Step 4: Simplify right side
    2,164.69x = 3,472,221.36
  5. Step 5: Solve for x
    x = 3,472,221.36/2,164.69
  6. Step 6: Final answer
    x = 1,604.03

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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.