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Finding the Fourth Proportional to 2,379, 3,568.38 and 735.42

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Solution

The fourth proportional to 2,379, 3,568.38 and 735.42 is: 1,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379 : 3,568.38 = 735.42 : x
  2. Step 2: Convert to fraction form
    2,379/3,568.38 = 735.42/x
  3. Step 3: Cross multiply
    2,379x = 3,568.38 × 735.42
  4. Step 4: Simplify right side
    2,379x = 2,624,258.02
  5. Step 5: Solve for x
    x = 2,624,258.02/2,379
  6. Step 6: Final answer
    x = 1,103.09

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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.