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Finding the Fourth Proportional to 2,797.54, 3,862.42 and 1,736.44

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Solution

The fourth proportional to 2,797.54, 3,862.42 and 1,736.44 is: 2,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.54 : 3,862.42 = 1,736.44 : x
  2. Step 2: Convert to fraction form
    2,797.54/3,862.42 = 1,736.44/x
  3. Step 3: Cross multiply
    2,797.54x = 3,862.42 × 1,736.44
  4. Step 4: Simplify right side
    2,797.54x = 6,706,860.58
  5. Step 5: Solve for x
    x = 6,706,860.58/2,797.54
  6. Step 6: Final answer
    x = 2,397.41

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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.