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Finding the Fourth Proportional to 1,896.70, 2,617.13 and 1,057.22

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Solution

The fourth proportional to 1,896.70, 2,617.13 and 1,057.22 is: 1,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.70 : 2,617.13 = 1,057.22 : x
  2. Step 2: Convert to fraction form
    1,896.70/2,617.13 = 1,057.22/x
  3. Step 3: Cross multiply
    1,896.70x = 2,617.13 × 1,057.22
  4. Step 4: Simplify right side
    1,896.70x = 2,766,879.54
  5. Step 5: Solve for x
    x = 2,766,879.54/1,896.70
  6. Step 6: Final answer
    x = 1,458.79

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Why These Related Problems?

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