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Finding the Fourth Proportional to 2,661.97, 3,994.32 and 2,016.67

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Solution

The fourth proportional to 2,661.97, 3,994.32 and 2,016.67 is: 3,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.97 : 3,994.32 = 2,016.67 : x
  2. Step 2: Convert to fraction form
    2,661.97/3,994.32 = 2,016.67/x
  3. Step 3: Cross multiply
    2,661.97x = 3,994.32 × 2,016.67
  4. Step 4: Simplify right side
    2,661.97x = 8,055,225.31
  5. Step 5: Solve for x
    x = 8,055,225.31/2,661.97
  6. Step 6: Final answer
    x = 3,026.04

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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.