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Finding the Fourth Proportional to 2,840.99, 3,919.78 and 1,832.27

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Solution

The fourth proportional to 2,840.99, 3,919.78 and 1,832.27 is: 2,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.99 : 3,919.78 = 1,832.27 : x
  2. Step 2: Convert to fraction form
    2,840.99/3,919.78 = 1,832.27/x
  3. Step 3: Cross multiply
    2,840.99x = 3,919.78 × 1,832.27
  4. Step 4: Simplify right side
    2,840.99x = 7,182,100.52
  5. Step 5: Solve for x
    x = 7,182,100.52/2,840.99
  6. Step 6: Final answer
    x = 2,528.03

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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.