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Finding the Fourth Proportional to 1,647.82, 2,274.09 and 949.20

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Solution

The fourth proportional to 1,647.82, 2,274.09 and 949.20 is: 1,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.82 : 2,274.09 = 949.20 : x
  2. Step 2: Convert to fraction form
    1,647.82/2,274.09 = 949.20/x
  3. Step 3: Cross multiply
    1,647.82x = 2,274.09 × 949.20
  4. Step 4: Simplify right side
    1,647.82x = 2,158,566.23
  5. Step 5: Solve for x
    x = 2,158,566.23/1,647.82
  6. Step 6: Final answer
    x = 1,309.95

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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.