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Finding the Fourth Proportional to 2,138.36, 3,207.18 and 599

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Solution

The fourth proportional to 2,138.36, 3,207.18 and 599 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.36 : 3,207.18 = 599 : x
  2. Step 2: Convert to fraction form
    2,138.36/3,207.18 = 599/x
  3. Step 3: Cross multiply
    2,138.36x = 3,207.18 × 599
  4. Step 4: Simplify right side
    2,138.36x = 1,921,100.82
  5. Step 5: Solve for x
    x = 1,921,100.82/2,138.36
  6. Step 6: Final answer
    x = 898.40

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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.