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Finding the Fourth Proportional to 1,896.73, 2,617.49 and 1,057.43

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Solution

The fourth proportional to 1,896.73, 2,617.49 and 1,057.43 is: 1,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.73 : 2,617.49 = 1,057.43 : x
  2. Step 2: Convert to fraction form
    1,896.73/2,617.49 = 1,057.43/x
  3. Step 3: Cross multiply
    1,896.73x = 2,617.49 × 1,057.43
  4. Step 4: Simplify right side
    1,896.73x = 2,767,807.16
  5. Step 5: Solve for x
    x = 2,767,807.16/1,896.73
  6. Step 6: Final answer
    x = 1,459.25

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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.