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Finding the Fourth Proportional to 1,305.33, 1,960.43 and 1,196.93

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Solution

The fourth proportional to 1,305.33, 1,960.43 and 1,196.93 is: 1,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.33 : 1,960.43 = 1,196.93 : x
  2. Step 2: Convert to fraction form
    1,305.33/1,960.43 = 1,196.93/x
  3. Step 3: Cross multiply
    1,305.33x = 1,960.43 × 1,196.93
  4. Step 4: Simplify right side
    1,305.33x = 2,346,481.69
  5. Step 5: Solve for x
    x = 2,346,481.69/1,305.33
  6. Step 6: Final answer
    x = 1,797.62

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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.