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Finding the Fourth Proportional to 1,969.38, 2,950.93 and 1,091.11

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Solution

The fourth proportional to 1,969.38, 2,950.93 and 1,091.11 is: 1,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.38 : 2,950.93 = 1,091.11 : x
  2. Step 2: Convert to fraction form
    1,969.38/2,950.93 = 1,091.11/x
  3. Step 3: Cross multiply
    1,969.38x = 2,950.93 × 1,091.11
  4. Step 4: Simplify right side
    1,969.38x = 3,219,789.23
  5. Step 5: Solve for x
    x = 3,219,789.23/1,969.38
  6. Step 6: Final answer
    x = 1,634.93

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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.