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Finding the Fourth Proportional to 2,820.94, 4,231.41 and 768.94

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Solution

The fourth proportional to 2,820.94, 4,231.41 and 768.94 is: 1,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.94 : 4,231.41 = 768.94 : x
  2. Step 2: Convert to fraction form
    2,820.94/4,231.41 = 768.94/x
  3. Step 3: Cross multiply
    2,820.94x = 4,231.41 × 768.94
  4. Step 4: Simplify right side
    2,820.94x = 3,253,686.94
  5. Step 5: Solve for x
    x = 3,253,686.94/2,820.94
  6. Step 6: Final answer
    x = 1,153.41

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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.