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Finding the Fourth Proportional to 2,896.43, 3,996.81 and 1,637.57

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Solution

The fourth proportional to 2,896.43, 3,996.81 and 1,637.57 is: 2,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.43 : 3,996.81 = 1,637.57 : x
  2. Step 2: Convert to fraction form
    2,896.43/3,996.81 = 1,637.57/x
  3. Step 3: Cross multiply
    2,896.43x = 3,996.81 × 1,637.57
  4. Step 4: Simplify right side
    2,896.43x = 6,545,066.14
  5. Step 5: Solve for x
    x = 6,545,066.14/2,896.43
  6. Step 6: Final answer
    x = 2,259.71

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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.