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Finding the Fourth Proportional to 1,647.72, 2,273.13 and 984.24

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Solution

The fourth proportional to 1,647.72, 2,273.13 and 984.24 is: 1,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.72 : 2,273.13 = 984.24 : x
  2. Step 2: Convert to fraction form
    1,647.72/2,273.13 = 984.24/x
  3. Step 3: Cross multiply
    1,647.72x = 2,273.13 × 984.24
  4. Step 4: Simplify right side
    1,647.72x = 2,237,305.47
  5. Step 5: Solve for x
    x = 2,237,305.47/1,647.72
  6. Step 6: Final answer
    x = 1,357.82

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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.