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Finding the Fourth Proportional to 2,249.37, 3,375 and 1,209.06

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Solution

The fourth proportional to 2,249.37, 3,375 and 1,209.06 is: 1,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.37 : 3,375 = 1,209.06 : x
  2. Step 2: Convert to fraction form
    2,249.37/3,375 = 1,209.06/x
  3. Step 3: Cross multiply
    2,249.37x = 3,375 × 1,209.06
  4. Step 4: Simplify right side
    2,249.37x = 4,080,577.50
  5. Step 5: Solve for x
    x = 4,080,577.50/2,249.37
  6. Step 6: Final answer
    x = 1,814.10

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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.