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Finding the Fourth Proportional to 1,949.19, 2,687.85 and 1,285.19

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Solution

The fourth proportional to 1,949.19, 2,687.85 and 1,285.19 is: 1,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.19 : 2,687.85 = 1,285.19 : x
  2. Step 2: Convert to fraction form
    1,949.19/2,687.85 = 1,285.19/x
  3. Step 3: Cross multiply
    1,949.19x = 2,687.85 × 1,285.19
  4. Step 4: Simplify right side
    1,949.19x = 3,454,397.94
  5. Step 5: Solve for x
    x = 3,454,397.94/1,949.19
  6. Step 6: Final answer
    x = 1,772.22

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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.