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Finding the Fourth Proportional to 2,138.63, 3,207.94 and 599.63

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Solution

The fourth proportional to 2,138.63, 3,207.94 and 599.63 is: 899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.63 : 3,207.94 = 599.63 : x
  2. Step 2: Convert to fraction form
    2,138.63/3,207.94 = 599.63/x
  3. Step 3: Cross multiply
    2,138.63x = 3,207.94 × 599.63
  4. Step 4: Simplify right side
    2,138.63x = 1,923,559.52
  5. Step 5: Solve for x
    x = 1,923,559.52/2,138.63
  6. Step 6: Final answer
    x = 899.44

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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.