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Finding the Fourth Proportional to 4,314.16, 6,471.17 and 1,194.42

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Solution

The fourth proportional to 4,314.16, 6,471.17 and 1,194.42 is: 1,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.16 : 6,471.17 = 1,194.42 : x
  2. Step 2: Convert to fraction form
    4,314.16/6,471.17 = 1,194.42/x
  3. Step 3: Cross multiply
    4,314.16x = 6,471.17 × 1,194.42
  4. Step 4: Simplify right side
    4,314.16x = 7,729,296.09
  5. Step 5: Solve for x
    x = 7,729,296.09/4,314.16
  6. Step 6: Final answer
    x = 1,791.61

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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.