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Finding the Fourth Proportional to 2,684.94, 3,997.32 and 2,671.94

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Solution

The fourth proportional to 2,684.94, 3,997.32 and 2,671.94 is: 3,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.94 : 3,997.32 = 2,671.94 : x
  2. Step 2: Convert to fraction form
    2,684.94/3,997.32 = 2,671.94/x
  3. Step 3: Cross multiply
    2,684.94x = 3,997.32 × 2,671.94
  4. Step 4: Simplify right side
    2,684.94x = 10,680,599.20
  5. Step 5: Solve for x
    x = 10,680,599.20/2,684.94
  6. Step 6: Final answer
    x = 3,977.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.