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Finding the Fourth Proportional to 1,838.11, 2,757.21 and 605.53

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Solution

The fourth proportional to 1,838.11, 2,757.21 and 605.53 is: 908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.11 : 2,757.21 = 605.53 : x
  2. Step 2: Convert to fraction form
    1,838.11/2,757.21 = 605.53/x
  3. Step 3: Cross multiply
    1,838.11x = 2,757.21 × 605.53
  4. Step 4: Simplify right side
    1,838.11x = 1,669,573.37
  5. Step 5: Solve for x
    x = 1,669,573.37/1,838.11
  6. Step 6: Final answer
    x = 908.31

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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.