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Finding the Fourth Proportional to 2,772.24, 4,156.94 and 922.85

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Solution

The fourth proportional to 2,772.24, 4,156.94 and 922.85 is: 1,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.24 : 4,156.94 = 922.85 : x
  2. Step 2: Convert to fraction form
    2,772.24/4,156.94 = 922.85/x
  3. Step 3: Cross multiply
    2,772.24x = 4,156.94 × 922.85
  4. Step 4: Simplify right side
    2,772.24x = 3,836,237.86
  5. Step 5: Solve for x
    x = 3,836,237.86/2,772.24
  6. Step 6: Final answer
    x = 1,383.80

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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.