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Finding the Fourth Proportional to 4,469.25, 6,704.39 and 1,698

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Solution

The fourth proportional to 4,469.25, 6,704.39 and 1,698 is: 2,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.25 : 6,704.39 = 1,698 : x
  2. Step 2: Convert to fraction form
    4,469.25/6,704.39 = 1,698/x
  3. Step 3: Cross multiply
    4,469.25x = 6,704.39 × 1,698
  4. Step 4: Simplify right side
    4,469.25x = 11,384,054.22
  5. Step 5: Solve for x
    x = 11,384,054.22/4,469.25
  6. Step 6: Final answer
    x = 2,547.20

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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.