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Finding the Fourth Proportional to 1,942.80, 2,912.22 and 1,247.46

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Solution

The fourth proportional to 1,942.80, 2,912.22 and 1,247.46 is: 1,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.80 : 2,912.22 = 1,247.46 : x
  2. Step 2: Convert to fraction form
    1,942.80/2,912.22 = 1,247.46/x
  3. Step 3: Cross multiply
    1,942.80x = 2,912.22 × 1,247.46
  4. Step 4: Simplify right side
    1,942.80x = 3,632,877.96
  5. Step 5: Solve for x
    x = 3,632,877.96/1,942.80
  6. Step 6: Final answer
    x = 1,869.92

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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.