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Finding the Fourth Proportional to 2,082.93, 3,121.97 and 926.25

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Solution

The fourth proportional to 2,082.93, 3,121.97 and 926.25 is: 1,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.93 : 3,121.97 = 926.25 : x
  2. Step 2: Convert to fraction form
    2,082.93/3,121.97 = 926.25/x
  3. Step 3: Cross multiply
    2,082.93x = 3,121.97 × 926.25
  4. Step 4: Simplify right side
    2,082.93x = 2,891,720.08
  5. Step 5: Solve for x
    x = 2,891,720.08/2,082.93
  6. Step 6: Final answer
    x = 1,388.29

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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.