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Finding the Fourth Proportional to 2,166.39, 3,242.97 and 1,189.53

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Solution

The fourth proportional to 2,166.39, 3,242.97 and 1,189.53 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.39 : 3,242.97 = 1,189.53 : x
  2. Step 2: Convert to fraction form
    2,166.39/3,242.97 = 1,189.53/x
  3. Step 3: Cross multiply
    2,166.39x = 3,242.97 × 1,189.53
  4. Step 4: Simplify right side
    2,166.39x = 3,857,610.10
  5. Step 5: Solve for x
    x = 3,857,610.10/2,166.39
  6. Step 6: Final answer
    x = 1,780.66

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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.