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Finding the Fourth Proportional to 1,846.22, 2,768.21 and 735.80

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Solution

The fourth proportional to 1,846.22, 2,768.21 and 735.80 is: 1,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.22 : 2,768.21 = 735.80 : x
  2. Step 2: Convert to fraction form
    1,846.22/2,768.21 = 735.80/x
  3. Step 3: Cross multiply
    1,846.22x = 2,768.21 × 735.80
  4. Step 4: Simplify right side
    1,846.22x = 2,036,855.15
  5. Step 5: Solve for x
    x = 2,036,855.15/1,846.22
  6. Step 6: Final answer
    x = 1,103.26

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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.