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Finding the Fourth Proportional to 1,797.43, 2,680.26 and 1,578.95

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Solution

The fourth proportional to 1,797.43, 2,680.26 and 1,578.95 is: 2,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.43 : 2,680.26 = 1,578.95 : x
  2. Step 2: Convert to fraction form
    1,797.43/2,680.26 = 1,578.95/x
  3. Step 3: Cross multiply
    1,797.43x = 2,680.26 × 1,578.95
  4. Step 4: Simplify right side
    1,797.43x = 4,231,996.53
  5. Step 5: Solve for x
    x = 4,231,996.53/1,797.43
  6. Step 6: Final answer
    x = 2,354.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.