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Finding the Fourth Proportional to 2,763.69, 4,145.67 and 816.05

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Solution

The fourth proportional to 2,763.69, 4,145.67 and 816.05 is: 1,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.69 : 4,145.67 = 816.05 : x
  2. Step 2: Convert to fraction form
    2,763.69/4,145.67 = 816.05/x
  3. Step 3: Cross multiply
    2,763.69x = 4,145.67 × 816.05
  4. Step 4: Simplify right side
    2,763.69x = 3,383,053.28
  5. Step 5: Solve for x
    x = 3,383,053.28/2,763.69
  6. Step 6: Final answer
    x = 1,224.11

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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.