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Finding the Fourth Proportional to 2,155.15, 3,229.98 and 922.24

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Solution

The fourth proportional to 2,155.15, 3,229.98 and 922.24 is: 1,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.15 : 3,229.98 = 922.24 : x
  2. Step 2: Convert to fraction form
    2,155.15/3,229.98 = 922.24/x
  3. Step 3: Cross multiply
    2,155.15x = 3,229.98 × 922.24
  4. Step 4: Simplify right side
    2,155.15x = 2,978,816.76
  5. Step 5: Solve for x
    x = 2,978,816.76/2,155.15
  6. Step 6: Final answer
    x = 1,382.19

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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.