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Finding the Fourth Proportional to 2,896.41, 3,996.89 and 1,637.71

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Solution

The fourth proportional to 2,896.41, 3,996.89 and 1,637.71 is: 2,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.41 : 3,996.89 = 1,637.71 : x
  2. Step 2: Convert to fraction form
    2,896.41/3,996.89 = 1,637.71/x
  3. Step 3: Cross multiply
    2,896.41x = 3,996.89 × 1,637.71
  4. Step 4: Simplify right side
    2,896.41x = 6,545,738.27
  5. Step 5: Solve for x
    x = 6,545,738.27/2,896.41
  6. Step 6: Final answer
    x = 2,259.95

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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.