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Finding the Fourth Proportional to 2,872.50, 4,310.21 and 1,228.60

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Solution

The fourth proportional to 2,872.50, 4,310.21 and 1,228.60 is: 1,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.50 : 4,310.21 = 1,228.60 : x
  2. Step 2: Convert to fraction form
    2,872.50/4,310.21 = 1,228.60/x
  3. Step 3: Cross multiply
    2,872.50x = 4,310.21 × 1,228.60
  4. Step 4: Simplify right side
    2,872.50x = 5,295,532.47
  5. Step 5: Solve for x
    x = 5,295,532.47/2,872.50
  6. Step 6: Final answer
    x = 1,843.53

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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.