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Finding the Fourth Proportional to 3,189.65, 4,776.44 and 2,016.09

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Solution

The fourth proportional to 3,189.65, 4,776.44 and 2,016.09 is: 3,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.65 : 4,776.44 = 2,016.09 : x
  2. Step 2: Convert to fraction form
    3,189.65/4,776.44 = 2,016.09/x
  3. Step 3: Cross multiply
    3,189.65x = 4,776.44 × 2,016.09
  4. Step 4: Simplify right side
    3,189.65x = 9,629,722.84
  5. Step 5: Solve for x
    x = 9,629,722.84/3,189.65
  6. Step 6: Final answer
    x = 3,019.06

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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.