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Finding the Fourth Proportional to 2,496.24, 3,743.28 and 936.18

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Solution

The fourth proportional to 2,496.24, 3,743.28 and 936.18 is: 1,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.24 : 3,743.28 = 936.18 : x
  2. Step 2: Convert to fraction form
    2,496.24/3,743.28 = 936.18/x
  3. Step 3: Cross multiply
    2,496.24x = 3,743.28 × 936.18
  4. Step 4: Simplify right side
    2,496.24x = 3,504,383.87
  5. Step 5: Solve for x
    x = 3,504,383.87/2,496.24
  6. Step 6: Final answer
    x = 1,403.86

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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.