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Finding the Fourth Proportional to 2,396.96, 3,593.90 and 936.26

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Solution

The fourth proportional to 2,396.96, 3,593.90 and 936.26 is: 1,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.96 : 3,593.90 = 936.26 : x
  2. Step 2: Convert to fraction form
    2,396.96/3,593.90 = 936.26/x
  3. Step 3: Cross multiply
    2,396.96x = 3,593.90 × 936.26
  4. Step 4: Simplify right side
    2,396.96x = 3,364,824.81
  5. Step 5: Solve for x
    x = 3,364,824.81/2,396.96
  6. Step 6: Final answer
    x = 1,403.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.