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Finding the Fourth Proportional to 1,896.30, 2,616.90 and 1,099.78

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Solution

The fourth proportional to 1,896.30, 2,616.90 and 1,099.78 is: 1,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.30 : 2,616.90 = 1,099.78 : x
  2. Step 2: Convert to fraction form
    1,896.30/2,616.90 = 1,099.78/x
  3. Step 3: Cross multiply
    1,896.30x = 2,616.90 × 1,099.78
  4. Step 4: Simplify right side
    1,896.30x = 2,878,013.43
  5. Step 5: Solve for x
    x = 2,878,013.43/1,896.30
  6. Step 6: Final answer
    x = 1,517.70

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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.