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Finding the Fourth Proportional to 2,082.06, 3,120 and 847.96

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Solution

The fourth proportional to 2,082.06, 3,120 and 847.96 is: 1,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.06 : 3,120 = 847.96 : x
  2. Step 2: Convert to fraction form
    2,082.06/3,120 = 847.96/x
  3. Step 3: Cross multiply
    2,082.06x = 3,120 × 847.96
  4. Step 4: Simplify right side
    2,082.06x = 2,645,635.20
  5. Step 5: Solve for x
    x = 2,645,635.20/2,082.06
  6. Step 6: Final answer
    x = 1,270.68

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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.