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Finding the Fourth Proportional to 3,189, 4,399.74 and 2,010.36

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Solution

The fourth proportional to 3,189, 4,399.74 and 2,010.36 is: 2,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,399.74 = 2,010.36 : x
  2. Step 2: Convert to fraction form
    3,189/4,399.74 = 2,010.36/x
  3. Step 3: Cross multiply
    3,189x = 4,399.74 × 2,010.36
  4. Step 4: Simplify right side
    3,189x = 8,845,061.31
  5. Step 5: Solve for x
    x = 8,845,061.31/3,189
  6. Step 6: Final answer
    x = 2,773.62

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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.