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Finding the Fourth Proportional to 3,406.88, 4,701.99 and 2,081.34

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Solution

The fourth proportional to 3,406.88, 4,701.99 and 2,081.34 is: 2,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.88 : 4,701.99 = 2,081.34 : x
  2. Step 2: Convert to fraction form
    3,406.88/4,701.99 = 2,081.34/x
  3. Step 3: Cross multiply
    3,406.88x = 4,701.99 × 2,081.34
  4. Step 4: Simplify right side
    3,406.88x = 9,786,439.87
  5. Step 5: Solve for x
    x = 9,786,439.87/3,406.88
  6. Step 6: Final answer
    x = 2,872.56

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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.