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Finding the Fourth Proportional to 4,243.26, 6,361.10 and 1,645.60

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Solution

The fourth proportional to 4,243.26, 6,361.10 and 1,645.60 is: 2,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.26 : 6,361.10 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    4,243.26/6,361.10 = 1,645.60/x
  3. Step 3: Cross multiply
    4,243.26x = 6,361.10 × 1,645.60
  4. Step 4: Simplify right side
    4,243.26x = 10,467,826.16
  5. Step 5: Solve for x
    x = 10,467,826.16/4,243.26
  6. Step 6: Final answer
    x = 2,466.93

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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.