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Finding the Fourth Proportional to 2,772.48, 4,157.33 and 922.94

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Solution

The fourth proportional to 2,772.48, 4,157.33 and 922.94 is: 1,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.48 : 4,157.33 = 922.94 : x
  2. Step 2: Convert to fraction form
    2,772.48/4,157.33 = 922.94/x
  3. Step 3: Cross multiply
    2,772.48x = 4,157.33 × 922.94
  4. Step 4: Simplify right side
    2,772.48x = 3,836,940.75
  5. Step 5: Solve for x
    x = 3,836,940.75/2,772.48
  6. Step 6: Final answer
    x = 1,383.94

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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.