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Finding the Fourth Proportional to 1,308.26, 1,971.39 and 1,082.23

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Solution

The fourth proportional to 1,308.26, 1,971.39 and 1,082.23 is: 1,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.26 : 1,971.39 = 1,082.23 : x
  2. Step 2: Convert to fraction form
    1,308.26/1,971.39 = 1,082.23/x
  3. Step 3: Cross multiply
    1,308.26x = 1,971.39 × 1,082.23
  4. Step 4: Simplify right side
    1,308.26x = 2,133,500.01
  5. Step 5: Solve for x
    x = 2,133,500.01/1,308.26
  6. Step 6: Final answer
    x = 1,630.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.