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Finding the Fourth Proportional to 2,665.94, 3,998.91 and 2,208.98

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Solution

The fourth proportional to 2,665.94, 3,998.91 and 2,208.98 is: 3,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.94 : 3,998.91 = 2,208.98 : x
  2. Step 2: Convert to fraction form
    2,665.94/3,998.91 = 2,208.98/x
  3. Step 3: Cross multiply
    2,665.94x = 3,998.91 × 2,208.98
  4. Step 4: Simplify right side
    2,665.94x = 8,833,512.21
  5. Step 5: Solve for x
    x = 8,833,512.21/2,665.94
  6. Step 6: Final answer
    x = 3,313.47

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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.