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Finding the Fourth Proportional to 2,249.02, 3,374.03 and 689.14

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Solution

The fourth proportional to 2,249.02, 3,374.03 and 689.14 is: 1,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.02 : 3,374.03 = 689.14 : x
  2. Step 2: Convert to fraction form
    2,249.02/3,374.03 = 689.14/x
  3. Step 3: Cross multiply
    2,249.02x = 3,374.03 × 689.14
  4. Step 4: Simplify right side
    2,249.02x = 2,325,179.03
  5. Step 5: Solve for x
    x = 2,325,179.03/2,249.02
  6. Step 6: Final answer
    x = 1,033.86

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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.