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Finding the Fourth Proportional to 2,896.97, 4,342.46 and 1,141.26

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Solution

The fourth proportional to 2,896.97, 4,342.46 and 1,141.26 is: 1,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.97 : 4,342.46 = 1,141.26 : x
  2. Step 2: Convert to fraction form
    2,896.97/4,342.46 = 1,141.26/x
  3. Step 3: Cross multiply
    2,896.97x = 4,342.46 × 1,141.26
  4. Step 4: Simplify right side
    2,896.97x = 4,955,878.75
  5. Step 5: Solve for x
    x = 4,955,878.75/2,896.97
  6. Step 6: Final answer
    x = 1,710.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.