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Finding the Fourth Proportional to 2,399.35, 3,599.13 and 938.84

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Solution

The fourth proportional to 2,399.35, 3,599.13 and 938.84 is: 1,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.35 : 3,599.13 = 938.84 : x
  2. Step 2: Convert to fraction form
    2,399.35/3,599.13 = 938.84/x
  3. Step 3: Cross multiply
    2,399.35x = 3,599.13 × 938.84
  4. Step 4: Simplify right side
    2,399.35x = 3,379,016.21
  5. Step 5: Solve for x
    x = 3,379,016.21/2,399.35
  6. Step 6: Final answer
    x = 1,408.31

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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.