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Finding the Fourth Proportional to 2,396.14, 3,594.13 and 936.32

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Solution

The fourth proportional to 2,396.14, 3,594.13 and 936.32 is: 1,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.14 : 3,594.13 = 936.32 : x
  2. Step 2: Convert to fraction form
    2,396.14/3,594.13 = 936.32/x
  3. Step 3: Cross multiply
    2,396.14x = 3,594.13 × 936.32
  4. Step 4: Simplify right side
    2,396.14x = 3,365,235.49
  5. Step 5: Solve for x
    x = 3,365,235.49/2,396.14
  6. Step 6: Final answer
    x = 1,404.44

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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.