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Finding the Fourth Proportional to 1,303.26, 1,961.92 and 1,190.26

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Solution

The fourth proportional to 1,303.26, 1,961.92 and 1,190.26 is: 1,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.26 : 1,961.92 = 1,190.26 : x
  2. Step 2: Convert to fraction form
    1,303.26/1,961.92 = 1,190.26/x
  3. Step 3: Cross multiply
    1,303.26x = 1,961.92 × 1,190.26
  4. Step 4: Simplify right side
    1,303.26x = 2,335,194.90
  5. Step 5: Solve for x
    x = 2,335,194.90/1,303.26
  6. Step 6: Final answer
    x = 1,791.81

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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.