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Finding the Fourth Proportional to 2,558.80, 3,838.20 and 827.44

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Solution

The fourth proportional to 2,558.80, 3,838.20 and 827.44 is: 1,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.80 : 3,838.20 = 827.44 : x
  2. Step 2: Convert to fraction form
    2,558.80/3,838.20 = 827.44/x
  3. Step 3: Cross multiply
    2,558.80x = 3,838.20 × 827.44
  4. Step 4: Simplify right side
    2,558.80x = 3,175,880.21
  5. Step 5: Solve for x
    x = 3,175,880.21/2,558.80
  6. Step 6: Final answer
    x = 1,241.16

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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.