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Finding the Fourth Proportional to 3,314.25, 4,968.03 and 2,082.54

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Solution

The fourth proportional to 3,314.25, 4,968.03 and 2,082.54 is: 3,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.25 : 4,968.03 = 2,082.54 : x
  2. Step 2: Convert to fraction form
    3,314.25/4,968.03 = 2,082.54/x
  3. Step 3: Cross multiply
    3,314.25x = 4,968.03 × 2,082.54
  4. Step 4: Simplify right side
    3,314.25x = 10,346,121.20
  5. Step 5: Solve for x
    x = 10,346,121.20/3,314.25
  6. Step 6: Final answer
    x = 3,121.71

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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.