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Finding the Fourth Proportional to 1,900.25, 2,850.11 and 513.67

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Solution

The fourth proportional to 1,900.25, 2,850.11 and 513.67 is: 770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.25 : 2,850.11 = 513.67 : x
  2. Step 2: Convert to fraction form
    1,900.25/2,850.11 = 513.67/x
  3. Step 3: Cross multiply
    1,900.25x = 2,850.11 × 513.67
  4. Step 4: Simplify right side
    1,900.25x = 1,464,013.44
  5. Step 5: Solve for x
    x = 1,464,013.44/1,900.25
  6. Step 6: Final answer
    x = 770.43

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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.