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Finding the Fourth Proportional to 2,469.84, 3,704.22 and 1,427.64

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Solution

The fourth proportional to 2,469.84, 3,704.22 and 1,427.64 is: 2,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.84 : 3,704.22 = 1,427.64 : x
  2. Step 2: Convert to fraction form
    2,469.84/3,704.22 = 1,427.64/x
  3. Step 3: Cross multiply
    2,469.84x = 3,704.22 × 1,427.64
  4. Step 4: Simplify right side
    2,469.84x = 5,288,292.64
  5. Step 5: Solve for x
    x = 5,288,292.64/2,469.84
  6. Step 6: Final answer
    x = 2,141.15

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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.