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Finding the Fourth Proportional to 3,241.95, 4,850.57 and 1,782.14

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Solution

The fourth proportional to 3,241.95, 4,850.57 and 1,782.14 is: 2,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.95 : 4,850.57 = 1,782.14 : x
  2. Step 2: Convert to fraction form
    3,241.95/4,850.57 = 1,782.14/x
  3. Step 3: Cross multiply
    3,241.95x = 4,850.57 × 1,782.14
  4. Step 4: Simplify right side
    3,241.95x = 8,644,361.66
  5. Step 5: Solve for x
    x = 8,644,361.66/3,241.95
  6. Step 6: Final answer
    x = 2,666.41

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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.