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Finding the Fourth Proportional to 1,915.26, 2,873.19 and 819.63

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Solution

The fourth proportional to 1,915.26, 2,873.19 and 819.63 is: 1,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.26 : 2,873.19 = 819.63 : x
  2. Step 2: Convert to fraction form
    1,915.26/2,873.19 = 819.63/x
  3. Step 3: Cross multiply
    1,915.26x = 2,873.19 × 819.63
  4. Step 4: Simplify right side
    1,915.26x = 2,354,952.72
  5. Step 5: Solve for x
    x = 2,354,952.72/1,915.26
  6. Step 6: Final answer
    x = 1,229.57

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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.