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Finding the Fourth Proportional to 1,942.24, 2,667.24 and 1,662.48

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Solution

The fourth proportional to 1,942.24, 2,667.24 and 1,662.48 is: 2,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.24 : 2,667.24 = 1,662.48 : x
  2. Step 2: Convert to fraction form
    1,942.24/2,667.24 = 1,662.48/x
  3. Step 3: Cross multiply
    1,942.24x = 2,667.24 × 1,662.48
  4. Step 4: Simplify right side
    1,942.24x = 4,434,233.16
  5. Step 5: Solve for x
    x = 4,434,233.16/1,942.24
  6. Step 6: Final answer
    x = 2,283.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.