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Finding the Fourth Proportional to 2,164.31, 3,243.71 and 1,189.27

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Solution

The fourth proportional to 2,164.31, 3,243.71 and 1,189.27 is: 1,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.31 : 3,243.71 = 1,189.27 : x
  2. Step 2: Convert to fraction form
    2,164.31/3,243.71 = 1,189.27/x
  3. Step 3: Cross multiply
    2,164.31x = 3,243.71 × 1,189.27
  4. Step 4: Simplify right side
    2,164.31x = 3,857,646.99
  5. Step 5: Solve for x
    x = 3,857,646.99/2,164.31
  6. Step 6: Final answer
    x = 1,782.39

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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.