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Finding the Fourth Proportional to 2,496.31, 3,744.55 and 936.15

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Solution

The fourth proportional to 2,496.31, 3,744.55 and 936.15 is: 1,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.31 : 3,744.55 = 936.15 : x
  2. Step 2: Convert to fraction form
    2,496.31/3,744.55 = 936.15/x
  3. Step 3: Cross multiply
    2,496.31x = 3,744.55 × 936.15
  4. Step 4: Simplify right side
    2,496.31x = 3,505,458.14
  5. Step 5: Solve for x
    x = 3,505,458.14/2,496.31
  6. Step 6: Final answer
    x = 1,404.26

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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.