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Finding the Fourth Proportional to 2,639.99, 3,960.89 and 997.01

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Solution

The fourth proportional to 2,639.99, 3,960.89 and 997.01 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.99 : 3,960.89 = 997.01 : x
  2. Step 2: Convert to fraction form
    2,639.99/3,960.89 = 997.01/x
  3. Step 3: Cross multiply
    2,639.99x = 3,960.89 × 997.01
  4. Step 4: Simplify right side
    2,639.99x = 3,949,046.94
  5. Step 5: Solve for x
    x = 3,949,046.94/2,639.99
  6. Step 6: Final answer
    x = 1,495.86

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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.