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Finding the Fourth Proportional to 2,191.14, 3,287.21 and 804.47

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Solution

The fourth proportional to 2,191.14, 3,287.21 and 804.47 is: 1,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.14 : 3,287.21 = 804.47 : x
  2. Step 2: Convert to fraction form
    2,191.14/3,287.21 = 804.47/x
  3. Step 3: Cross multiply
    2,191.14x = 3,287.21 × 804.47
  4. Step 4: Simplify right side
    2,191.14x = 2,644,441.37
  5. Step 5: Solve for x
    x = 2,644,441.37/2,191.14
  6. Step 6: Final answer
    x = 1,206.88

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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.