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Finding the Fourth Proportional to 1,296.36, 1,789.20 and 1,238.04

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Solution

The fourth proportional to 1,296.36, 1,789.20 and 1,238.04 is: 1,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.36 : 1,789.20 = 1,238.04 : x
  2. Step 2: Convert to fraction form
    1,296.36/1,789.20 = 1,238.04/x
  3. Step 3: Cross multiply
    1,296.36x = 1,789.20 × 1,238.04
  4. Step 4: Simplify right side
    1,296.36x = 2,215,101.17
  5. Step 5: Solve for x
    x = 2,215,101.17/1,296.36
  6. Step 6: Final answer
    x = 1,708.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.