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Finding the Fourth Proportional to 3,206.97, 4,808.04 and 2,164.05

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Solution

The fourth proportional to 3,206.97, 4,808.04 and 2,164.05 is: 3,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.97 : 4,808.04 = 2,164.05 : x
  2. Step 2: Convert to fraction form
    3,206.97/4,808.04 = 2,164.05/x
  3. Step 3: Cross multiply
    3,206.97x = 4,808.04 × 2,164.05
  4. Step 4: Simplify right side
    3,206.97x = 10,404,838.96
  5. Step 5: Solve for x
    x = 10,404,838.96/3,206.97
  6. Step 6: Final answer
    x = 3,244.45

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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.