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Finding the Fourth Proportional to 1,729.97, 2,388.05 and 1,170.17

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Solution

The fourth proportional to 1,729.97, 2,388.05 and 1,170.17 is: 1,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.97 : 2,388.05 = 1,170.17 : x
  2. Step 2: Convert to fraction form
    1,729.97/2,388.05 = 1,170.17/x
  3. Step 3: Cross multiply
    1,729.97x = 2,388.05 × 1,170.17
  4. Step 4: Simplify right side
    1,729.97x = 2,794,418.62
  5. Step 5: Solve for x
    x = 2,794,418.62/1,729.97
  6. Step 6: Final answer
    x = 1,615.30

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