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Finding the Fourth Proportional to 2,777.06, 3,832.44 and 1,833.68

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Solution

The fourth proportional to 2,777.06, 3,832.44 and 1,833.68 is: 2,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.06 : 3,832.44 = 1,833.68 : x
  2. Step 2: Convert to fraction form
    2,777.06/3,832.44 = 1,833.68/x
  3. Step 3: Cross multiply
    2,777.06x = 3,832.44 × 1,833.68
  4. Step 4: Simplify right side
    2,777.06x = 7,027,468.58
  5. Step 5: Solve for x
    x = 7,027,468.58/2,777.06
  6. Step 6: Final answer
    x = 2,530.54

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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.