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Finding the Fourth Proportional to 2,771.11, 4,155.25 and 921.73

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Solution

The fourth proportional to 2,771.11, 4,155.25 and 921.73 is: 1,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.11 : 4,155.25 = 921.73 : x
  2. Step 2: Convert to fraction form
    2,771.11/4,155.25 = 921.73/x
  3. Step 3: Cross multiply
    2,771.11x = 4,155.25 × 921.73
  4. Step 4: Simplify right side
    2,771.11x = 3,830,015.41
  5. Step 5: Solve for x
    x = 3,830,015.41/2,771.11
  6. Step 6: Final answer
    x = 1,382.12

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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.