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Finding the Fourth Proportional to 1,812.36, 2,718 and 513.96

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Solution

The fourth proportional to 1,812.36, 2,718 and 513.96 is: 770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.36 : 2,718 = 513.96 : x
  2. Step 2: Convert to fraction form
    1,812.36/2,718 = 513.96/x
  3. Step 3: Cross multiply
    1,812.36x = 2,718 × 513.96
  4. Step 4: Simplify right side
    1,812.36x = 1,396,943.28
  5. Step 5: Solve for x
    x = 1,396,943.28/1,812.36
  6. Step 6: Final answer
    x = 770.79

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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.