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Finding the Fourth Proportional to 2,816.89, 4,224.12 and 1,149.91

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Solution

The fourth proportional to 2,816.89, 4,224.12 and 1,149.91 is: 1,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.89 : 4,224.12 = 1,149.91 : x
  2. Step 2: Convert to fraction form
    2,816.89/4,224.12 = 1,149.91/x
  3. Step 3: Cross multiply
    2,816.89x = 4,224.12 × 1,149.91
  4. Step 4: Simplify right side
    2,816.89x = 4,857,342.96
  5. Step 5: Solve for x
    x = 4,857,342.96/2,816.89
  6. Step 6: Final answer
    x = 1,724.37

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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.