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Finding the Fourth Proportional to 2,772.15, 4,157.31 and 922.75

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Solution

The fourth proportional to 2,772.15, 4,157.31 and 922.75 is: 1,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.15 : 4,157.31 = 922.75 : x
  2. Step 2: Convert to fraction form
    2,772.15/4,157.31 = 922.75/x
  3. Step 3: Cross multiply
    2,772.15x = 4,157.31 × 922.75
  4. Step 4: Simplify right side
    2,772.15x = 3,836,157.80
  5. Step 5: Solve for x
    x = 3,836,157.80/2,772.15
  6. Step 6: Final answer
    x = 1,383.82

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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.