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Finding the Fourth Proportional to 2,314.82, 3,194.91 and 1,608.14

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Solution

The fourth proportional to 2,314.82, 3,194.91 and 1,608.14 is: 2,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.82 : 3,194.91 = 1,608.14 : x
  2. Step 2: Convert to fraction form
    2,314.82/3,194.91 = 1,608.14/x
  3. Step 3: Cross multiply
    2,314.82x = 3,194.91 × 1,608.14
  4. Step 4: Simplify right side
    2,314.82x = 5,137,846.59
  5. Step 5: Solve for x
    x = 5,137,846.59/2,314.82
  6. Step 6: Final answer
    x = 2,219.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.