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Finding the Fourth Proportional to 1,969.83, 2,951.73 and 1,091.61

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Solution

The fourth proportional to 1,969.83, 2,951.73 and 1,091.61 is: 1,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.83 : 2,951.73 = 1,091.61 : x
  2. Step 2: Convert to fraction form
    1,969.83/2,951.73 = 1,091.61/x
  3. Step 3: Cross multiply
    1,969.83x = 2,951.73 × 1,091.61
  4. Step 4: Simplify right side
    1,969.83x = 3,222,137.99
  5. Step 5: Solve for x
    x = 3,222,137.99/1,969.83
  6. Step 6: Final answer
    x = 1,635.74

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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.