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Finding the Fourth Proportional to 2,896.93, 3,997.91 and 1,638.04

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Solution

The fourth proportional to 2,896.93, 3,997.91 and 1,638.04 is: 2,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.93 : 3,997.91 = 1,638.04 : x
  2. Step 2: Convert to fraction form
    2,896.93/3,997.91 = 1,638.04/x
  3. Step 3: Cross multiply
    2,896.93x = 3,997.91 × 1,638.04
  4. Step 4: Simplify right side
    2,896.93x = 6,548,730.60
  5. Step 5: Solve for x
    x = 6,548,730.60/2,896.93
  6. Step 6: Final answer
    x = 2,260.58

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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.