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Finding the Fourth Proportional to 2,771.11, 4,156.21 and 921.98

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Solution

The fourth proportional to 2,771.11, 4,156.21 and 921.98 is: 1,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.11 : 4,156.21 = 921.98 : x
  2. Step 2: Convert to fraction form
    2,771.11/4,156.21 = 921.98/x
  3. Step 3: Cross multiply
    2,771.11x = 4,156.21 × 921.98
  4. Step 4: Simplify right side
    2,771.11x = 3,831,954.04
  5. Step 5: Solve for x
    x = 3,831,954.04/2,771.11
  6. Step 6: Final answer
    x = 1,382.82

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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.