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Finding the Fourth Proportional to 2,896.37, 3,993.76 and 2,098.12

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Solution

The fourth proportional to 2,896.37, 3,993.76 and 2,098.12 is: 2,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.37 : 3,993.76 = 2,098.12 : x
  2. Step 2: Convert to fraction form
    2,896.37/3,993.76 = 2,098.12/x
  3. Step 3: Cross multiply
    2,896.37x = 3,993.76 × 2,098.12
  4. Step 4: Simplify right side
    2,896.37x = 8,379,357.27
  5. Step 5: Solve for x
    x = 8,379,357.27/2,896.37
  6. Step 6: Final answer
    x = 2,893.05

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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.