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Finding the Fourth Proportional to 1,954.20, 2,696.76 and 1,168.20

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Solution

The fourth proportional to 1,954.20, 2,696.76 and 1,168.20 is: 1,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.20 : 2,696.76 = 1,168.20 : x
  2. Step 2: Convert to fraction form
    1,954.20/2,696.76 = 1,168.20/x
  3. Step 3: Cross multiply
    1,954.20x = 2,696.76 × 1,168.20
  4. Step 4: Simplify right side
    1,954.20x = 3,150,355.03
  5. Step 5: Solve for x
    x = 3,150,355.03/1,954.20
  6. Step 6: Final answer
    x = 1,612.09

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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.