Home / 1,647.78-2,273.83-949.14

Finding the Fourth Proportional to 1,647.78, 2,273.83 and 949.14

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Solution

The fourth proportional to 1,647.78, 2,273.83 and 949.14 is: 1,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.78 : 2,273.83 = 949.14 : x
  2. Step 2: Convert to fraction form
    1,647.78/2,273.83 = 949.14/x
  3. Step 3: Cross multiply
    1,647.78x = 2,273.83 × 949.14
  4. Step 4: Simplify right side
    1,647.78x = 2,158,183.01
  5. Step 5: Solve for x
    x = 2,158,183.01/1,647.78
  6. Step 6: Final answer
    x = 1,309.75

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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.