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Finding the Fourth Proportional to 1,745.67, 2,618.91 and 513.09

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Solution

The fourth proportional to 1,745.67, 2,618.91 and 513.09 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.67 : 2,618.91 = 513.09 : x
  2. Step 2: Convert to fraction form
    1,745.67/2,618.91 = 513.09/x
  3. Step 3: Cross multiply
    1,745.67x = 2,618.91 × 513.09
  4. Step 4: Simplify right side
    1,745.67x = 1,343,736.53
  5. Step 5: Solve for x
    x = 1,343,736.53/1,745.67
  6. Step 6: Final answer
    x = 769.75

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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.