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Finding the Fourth Proportional to 2,485.94, 3,728.91 and 1,183.46

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Solution

The fourth proportional to 2,485.94, 3,728.91 and 1,183.46 is: 1,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.94 : 3,728.91 = 1,183.46 : x
  2. Step 2: Convert to fraction form
    2,485.94/3,728.91 = 1,183.46/x
  3. Step 3: Cross multiply
    2,485.94x = 3,728.91 × 1,183.46
  4. Step 4: Simplify right side
    2,485.94x = 4,412,997.18
  5. Step 5: Solve for x
    x = 4,412,997.18/2,485.94
  6. Step 6: Final answer
    x = 1,775.19

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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.