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Finding the Fourth Proportional to 1,745.66, 2,618.49 and 820.91

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Solution

The fourth proportional to 1,745.66, 2,618.49 and 820.91 is: 1,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.66 : 2,618.49 = 820.91 : x
  2. Step 2: Convert to fraction form
    1,745.66/2,618.49 = 820.91/x
  3. Step 3: Cross multiply
    1,745.66x = 2,618.49 × 820.91
  4. Step 4: Simplify right side
    1,745.66x = 2,149,544.63
  5. Step 5: Solve for x
    x = 2,149,544.63/1,745.66
  6. Step 6: Final answer
    x = 1,231.37

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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.