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Finding the Fourth Proportional to 1,687.69, 2,329.62 and 1,450.69

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Solution

The fourth proportional to 1,687.69, 2,329.62 and 1,450.69 is: 2,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.69 : 2,329.62 = 1,450.69 : x
  2. Step 2: Convert to fraction form
    1,687.69/2,329.62 = 1,450.69/x
  3. Step 3: Cross multiply
    1,687.69x = 2,329.62 × 1,450.69
  4. Step 4: Simplify right side
    1,687.69x = 3,379,556.44
  5. Step 5: Solve for x
    x = 3,379,556.44/1,687.69
  6. Step 6: Final answer
    x = 2,002.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.