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Finding the Fourth Proportional to 1,942.81, 2,907 and 1,163.26

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Solution

The fourth proportional to 1,942.81, 2,907 and 1,163.26 is: 1,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.81 : 2,907 = 1,163.26 : x
  2. Step 2: Convert to fraction form
    1,942.81/2,907 = 1,163.26/x
  3. Step 3: Cross multiply
    1,942.81x = 2,907 × 1,163.26
  4. Step 4: Simplify right side
    1,942.81x = 3,381,596.82
  5. Step 5: Solve for x
    x = 3,381,596.82/1,942.81
  6. Step 6: Final answer
    x = 1,740.57

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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.