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Finding the Fourth Proportional to 1,647.73, 2,273.89 and 984.64

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Solution

The fourth proportional to 1,647.73, 2,273.89 and 984.64 is: 1,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.73 : 2,273.89 = 984.64 : x
  2. Step 2: Convert to fraction form
    1,647.73/2,273.89 = 984.64/x
  3. Step 3: Cross multiply
    1,647.73x = 2,273.89 × 984.64
  4. Step 4: Simplify right side
    1,647.73x = 2,238,963.05
  5. Step 5: Solve for x
    x = 2,238,963.05/1,647.73
  6. Step 6: Final answer
    x = 1,358.82

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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.