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Finding the Fourth Proportional to 1,896.36, 2,616.89 and 1,057.15

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Solution

The fourth proportional to 1,896.36, 2,616.89 and 1,057.15 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.36 : 2,616.89 = 1,057.15 : x
  2. Step 2: Convert to fraction form
    1,896.36/2,616.89 = 1,057.15/x
  3. Step 3: Cross multiply
    1,896.36x = 2,616.89 × 1,057.15
  4. Step 4: Simplify right side
    1,896.36x = 2,766,443.25
  5. Step 5: Solve for x
    x = 2,766,443.25/1,896.36
  6. Step 6: Final answer
    x = 1,458.82

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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.