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Finding the Fourth Proportional to 2,896.06, 4,343.41 and 816.27

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Solution

The fourth proportional to 2,896.06, 4,343.41 and 816.27 is: 1,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.06 : 4,343.41 = 816.27 : x
  2. Step 2: Convert to fraction form
    2,896.06/4,343.41 = 816.27/x
  3. Step 3: Cross multiply
    2,896.06x = 4,343.41 × 816.27
  4. Step 4: Simplify right side
    2,896.06x = 3,545,395.28
  5. Step 5: Solve for x
    x = 3,545,395.28/2,896.06
  6. Step 6: Final answer
    x = 1,224.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.