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Finding the Fourth Proportional to 1,969.33, 2,717.83 and 1,085.29

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Solution

The fourth proportional to 1,969.33, 2,717.83 and 1,085.29 is: 1,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.33 : 2,717.83 = 1,085.29 : x
  2. Step 2: Convert to fraction form
    1,969.33/2,717.83 = 1,085.29/x
  3. Step 3: Cross multiply
    1,969.33x = 2,717.83 × 1,085.29
  4. Step 4: Simplify right side
    1,969.33x = 2,949,614.71
  5. Step 5: Solve for x
    x = 2,949,614.71/1,969.33
  6. Step 6: Final answer
    x = 1,497.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.