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Finding the Fourth Proportional to 1,305.26, 1,964.94 and 1,192.26

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Solution

The fourth proportional to 1,305.26, 1,964.94 and 1,192.26 is: 1,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.26 : 1,964.94 = 1,192.26 : x
  2. Step 2: Convert to fraction form
    1,305.26/1,964.94 = 1,192.26/x
  3. Step 3: Cross multiply
    1,305.26x = 1,964.94 × 1,192.26
  4. Step 4: Simplify right side
    1,305.26x = 2,342,719.36
  5. Step 5: Solve for x
    x = 2,342,719.36/1,305.26
  6. Step 6: Final answer
    x = 1,794.83

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Why These Related Problems?

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