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Finding the Fourth Proportional to 2,777.81, 3,832.73 and 1,659.11

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Solution

The fourth proportional to 2,777.81, 3,832.73 and 1,659.11 is: 2,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.81 : 3,832.73 = 1,659.11 : x
  2. Step 2: Convert to fraction form
    2,777.81/3,832.73 = 1,659.11/x
  3. Step 3: Cross multiply
    2,777.81x = 3,832.73 × 1,659.11
  4. Step 4: Simplify right side
    2,777.81x = 6,358,893.21
  5. Step 5: Solve for x
    x = 6,358,893.21/2,777.81
  6. Step 6: Final answer
    x = 2,289.18

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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.