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Finding the Fourth Proportional to 2,728.94, 4,092.09 and 1,633.01

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Solution

The fourth proportional to 2,728.94, 4,092.09 and 1,633.01 is: 2,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.94 : 4,092.09 = 1,633.01 : x
  2. Step 2: Convert to fraction form
    2,728.94/4,092.09 = 1,633.01/x
  3. Step 3: Cross multiply
    2,728.94x = 4,092.09 × 1,633.01
  4. Step 4: Simplify right side
    2,728.94x = 6,682,423.89
  5. Step 5: Solve for x
    x = 6,682,423.89/2,728.94
  6. Step 6: Final answer
    x = 2,448.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.