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Finding the Fourth Proportional to 2,138.06, 3,207.09 and 599.06

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Solution

The fourth proportional to 2,138.06, 3,207.09 and 599.06 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,207.09 = 599.06 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,207.09 = 599.06/x
  3. Step 3: Cross multiply
    2,138.06x = 3,207.09 × 599.06
  4. Step 4: Simplify right side
    2,138.06x = 1,921,239.34
  5. Step 5: Solve for x
    x = 1,921,239.34/2,138.06
  6. Step 6: Final answer
    x = 898.59

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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.