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Finding the Fourth Proportional to 2,180.73, 3,266.15 and 1,082.64

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Solution

The fourth proportional to 2,180.73, 3,266.15 and 1,082.64 is: 1,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.73 : 3,266.15 = 1,082.64 : x
  2. Step 2: Convert to fraction form
    2,180.73/3,266.15 = 1,082.64/x
  3. Step 3: Cross multiply
    2,180.73x = 3,266.15 × 1,082.64
  4. Step 4: Simplify right side
    2,180.73x = 3,536,059.22
  5. Step 5: Solve for x
    x = 3,536,059.22/2,180.73
  6. Step 6: Final answer
    x = 1,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.