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Finding the Fourth Proportional to 1,797.43, 2,480.97 and 1,167.97

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Solution

The fourth proportional to 1,797.43, 2,480.97 and 1,167.97 is: 1,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.43 : 2,480.97 = 1,167.97 : x
  2. Step 2: Convert to fraction form
    1,797.43/2,480.97 = 1,167.97/x
  3. Step 3: Cross multiply
    1,797.43x = 2,480.97 × 1,167.97
  4. Step 4: Simplify right side
    1,797.43x = 2,897,698.53
  5. Step 5: Solve for x
    x = 2,897,698.53/1,797.43
  6. Step 6: Final answer
    x = 1,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.