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Finding the Fourth Proportional to 2,244.54, 3,369.24 and 1,785.27

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Solution

The fourth proportional to 2,244.54, 3,369.24 and 1,785.27 is: 2,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.54 : 3,369.24 = 1,785.27 : x
  2. Step 2: Convert to fraction form
    2,244.54/3,369.24 = 1,785.27/x
  3. Step 3: Cross multiply
    2,244.54x = 3,369.24 × 1,785.27
  4. Step 4: Simplify right side
    2,244.54x = 6,015,003.09
  5. Step 5: Solve for x
    x = 6,015,003.09/2,244.54
  6. Step 6: Final answer
    x = 2,679.84

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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.