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Finding the Fourth Proportional to 2,107.69, 3,161.53 and 568.69

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Solution

The fourth proportional to 2,107.69, 3,161.53 and 568.69 is: 853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 3,161.53 = 568.69 : x
  2. Step 2: Convert to fraction form
    2,107.69/3,161.53 = 568.69/x
  3. Step 3: Cross multiply
    2,107.69x = 3,161.53 × 568.69
  4. Step 4: Simplify right side
    2,107.69x = 1,797,923.30
  5. Step 5: Solve for x
    x = 1,797,923.30/2,107.69
  6. Step 6: Final answer
    x = 853.03

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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.