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Finding the Fourth Proportional to 2,782.05, 3,837.52 and 2,183.64

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Solution

The fourth proportional to 2,782.05, 3,837.52 and 2,183.64 is: 3,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.05 : 3,837.52 = 2,183.64 : x
  2. Step 2: Convert to fraction form
    2,782.05/3,837.52 = 2,183.64/x
  3. Step 3: Cross multiply
    2,782.05x = 3,837.52 × 2,183.64
  4. Step 4: Simplify right side
    2,782.05x = 8,379,762.47
  5. Step 5: Solve for x
    x = 8,379,762.47/2,782.05
  6. Step 6: Final answer
    x = 3,012.09

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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.