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Finding the Fourth Proportional to 2,162.88, 3,245.67 and 1,189.62

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Solution

The fourth proportional to 2,162.88, 3,245.67 and 1,189.62 is: 1,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.88 : 3,245.67 = 1,189.62 : x
  2. Step 2: Convert to fraction form
    2,162.88/3,245.67 = 1,189.62/x
  3. Step 3: Cross multiply
    2,162.88x = 3,245.67 × 1,189.62
  4. Step 4: Simplify right side
    2,162.88x = 3,861,113.95
  5. Step 5: Solve for x
    x = 3,861,113.95/2,162.88
  6. Step 6: Final answer
    x = 1,785.17

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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.