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Finding the Fourth Proportional to 1,942.94, 2,907.23 and 1,163.49

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Solution

The fourth proportional to 1,942.94, 2,907.23 and 1,163.49 is: 1,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.94 : 2,907.23 = 1,163.49 : x
  2. Step 2: Convert to fraction form
    1,942.94/2,907.23 = 1,163.49/x
  3. Step 3: Cross multiply
    1,942.94x = 2,907.23 × 1,163.49
  4. Step 4: Simplify right side
    1,942.94x = 3,382,521.40
  5. Step 5: Solve for x
    x = 3,382,521.40/1,942.94
  6. Step 6: Final answer
    x = 1,740.93

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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.