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Finding the Fourth Proportional to 2,896.30, 4,344.39 and 816.28

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Solution

The fourth proportional to 2,896.30, 4,344.39 and 816.28 is: 1,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.30 : 4,344.39 = 816.28 : x
  2. Step 2: Convert to fraction form
    2,896.30/4,344.39 = 816.28/x
  3. Step 3: Cross multiply
    2,896.30x = 4,344.39 × 816.28
  4. Step 4: Simplify right side
    2,896.30x = 3,546,238.67
  5. Step 5: Solve for x
    x = 3,546,238.67/2,896.30
  6. Step 6: Final answer
    x = 1,224.40

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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.