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Finding the Fourth Proportional to 2,896.16, 3,996.90 and 1,637.33

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Solution

The fourth proportional to 2,896.16, 3,996.90 and 1,637.33 is: 2,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.16 : 3,996.90 = 1,637.33 : x
  2. Step 2: Convert to fraction form
    2,896.16/3,996.90 = 1,637.33/x
  3. Step 3: Cross multiply
    2,896.16x = 3,996.90 × 1,637.33
  4. Step 4: Simplify right side
    2,896.16x = 6,544,224.29
  5. Step 5: Solve for x
    x = 6,544,224.29/2,896.16
  6. Step 6: Final answer
    x = 2,259.63

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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.