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Finding the Fourth Proportional to 2,616.57, 3,914.64 and 2,027.07

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Solution

The fourth proportional to 2,616.57, 3,914.64 and 2,027.07 is: 3,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.57 : 3,914.64 = 2,027.07 : x
  2. Step 2: Convert to fraction form
    2,616.57/3,914.64 = 2,027.07/x
  3. Step 3: Cross multiply
    2,616.57x = 3,914.64 × 2,027.07
  4. Step 4: Simplify right side
    2,616.57x = 7,935,249.30
  5. Step 5: Solve for x
    x = 7,935,249.30/2,616.57
  6. Step 6: Final answer
    x = 3,032.69

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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.