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Finding the Fourth Proportional to 2,450.69, 3,674.45 and 1,616.78

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Solution

The fourth proportional to 2,450.69, 3,674.45 and 1,616.78 is: 2,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.69 : 3,674.45 = 1,616.78 : x
  2. Step 2: Convert to fraction form
    2,450.69/3,674.45 = 1,616.78/x
  3. Step 3: Cross multiply
    2,450.69x = 3,674.45 × 1,616.78
  4. Step 4: Simplify right side
    2,450.69x = 5,940,790.50
  5. Step 5: Solve for x
    x = 5,940,790.50/2,450.69
  6. Step 6: Final answer
    x = 2,424.13

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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.