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Finding the Fourth Proportional to 2,190.68, 3,286.56 and 2,010.68

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Solution

The fourth proportional to 2,190.68, 3,286.56 and 2,010.68 is: 3,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.68 : 3,286.56 = 2,010.68 : x
  2. Step 2: Convert to fraction form
    2,190.68/3,286.56 = 2,010.68/x
  3. Step 3: Cross multiply
    2,190.68x = 3,286.56 × 2,010.68
  4. Step 4: Simplify right side
    2,190.68x = 6,608,220.46
  5. Step 5: Solve for x
    x = 6,608,220.46/2,190.68
  6. Step 6: Final answer
    x = 3,016.52

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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.