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Finding the Fourth Proportional to 2,816.01, 4,224 and 1,150.83

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Solution

The fourth proportional to 2,816.01, 4,224 and 1,150.83 is: 1,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.01 : 4,224 = 1,150.83 : x
  2. Step 2: Convert to fraction form
    2,816.01/4,224 = 1,150.83/x
  3. Step 3: Cross multiply
    2,816.01x = 4,224 × 1,150.83
  4. Step 4: Simplify right side
    2,816.01x = 4,861,105.92
  5. Step 5: Solve for x
    x = 4,861,105.92/2,816.01
  6. Step 6: Final answer
    x = 1,726.24

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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.