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Finding the Fourth Proportional to 2,896.25, 3,995.35 and 1,832.22

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Solution

The fourth proportional to 2,896.25, 3,995.35 and 1,832.22 is: 2,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.25 : 3,995.35 = 1,832.22 : x
  2. Step 2: Convert to fraction form
    2,896.25/3,995.35 = 1,832.22/x
  3. Step 3: Cross multiply
    2,896.25x = 3,995.35 × 1,832.22
  4. Step 4: Simplify right side
    2,896.25x = 7,320,360.75
  5. Step 5: Solve for x
    x = 7,320,360.75/2,896.25
  6. Step 6: Final answer
    x = 2,527.53

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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.