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Finding the Fourth Proportional to 2,576.21, 3,863.21 and 993.96

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Solution

The fourth proportional to 2,576.21, 3,863.21 and 993.96 is: 1,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.21 : 3,863.21 = 993.96 : x
  2. Step 2: Convert to fraction form
    2,576.21/3,863.21 = 993.96/x
  3. Step 3: Cross multiply
    2,576.21x = 3,863.21 × 993.96
  4. Step 4: Simplify right side
    2,576.21x = 3,839,871.24
  5. Step 5: Solve for x
    x = 3,839,871.24/2,576.21
  6. Step 6: Final answer
    x = 1,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.