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Finding the Fourth Proportional to 2,190.67, 3,287.22 and 1,641.22

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Solution

The fourth proportional to 2,190.67, 3,287.22 and 1,641.22 is: 2,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.67 : 3,287.22 = 1,641.22 : x
  2. Step 2: Convert to fraction form
    2,190.67/3,287.22 = 1,641.22/x
  3. Step 3: Cross multiply
    2,190.67x = 3,287.22 × 1,641.22
  4. Step 4: Simplify right side
    2,190.67x = 5,395,051.21
  5. Step 5: Solve for x
    x = 5,395,051.21/2,190.67
  6. Step 6: Final answer
    x = 2,462.74

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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.