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Finding the Fourth Proportional to 4,241.16, 6,361.90 and 1,608.38

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Solution

The fourth proportional to 4,241.16, 6,361.90 and 1,608.38 is: 2,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.16 : 6,361.90 = 1,608.38 : x
  2. Step 2: Convert to fraction form
    4,241.16/6,361.90 = 1,608.38/x
  3. Step 3: Cross multiply
    4,241.16x = 6,361.90 × 1,608.38
  4. Step 4: Simplify right side
    4,241.16x = 10,232,352.72
  5. Step 5: Solve for x
    x = 10,232,352.72/4,241.16
  6. Step 6: Final answer
    x = 2,412.63

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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.