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Finding the Fourth Proportional to 2,189.96, 3,286.29 and 1,150.71

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Solution

The fourth proportional to 2,189.96, 3,286.29 and 1,150.71 is: 1,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.96 : 3,286.29 = 1,150.71 : x
  2. Step 2: Convert to fraction form
    2,189.96/3,286.29 = 1,150.71/x
  3. Step 3: Cross multiply
    2,189.96x = 3,286.29 × 1,150.71
  4. Step 4: Simplify right side
    2,189.96x = 3,781,566.77
  5. Step 5: Solve for x
    x = 3,781,566.77/2,189.96
  6. Step 6: Final answer
    x = 1,726.77

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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.