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Finding the Fourth Proportional to 2,235.89, 3,348.09 and 2,170.22

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Solution

The fourth proportional to 2,235.89, 3,348.09 and 2,170.22 is: 3,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.89 : 3,348.09 = 2,170.22 : x
  2. Step 2: Convert to fraction form
    2,235.89/3,348.09 = 2,170.22/x
  3. Step 3: Cross multiply
    2,235.89x = 3,348.09 × 2,170.22
  4. Step 4: Simplify right side
    2,235.89x = 7,266,075.14
  5. Step 5: Solve for x
    x = 7,266,075.14/2,235.89
  6. Step 6: Final answer
    x = 3,249.75

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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.