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Finding the Fourth Proportional to 1,984, 2,976 and 768

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Solution

The fourth proportional to 1,984, 2,976 and 768 is: 1,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984 : 2,976 = 768 : x
  2. Step 2: Convert to fraction form
    1,984/2,976 = 768/x
  3. Step 3: Cross multiply
    1,984x = 2,976 × 768
  4. Step 4: Simplify right side
    1,984x = 2,285,568
  5. Step 5: Solve for x
    x = 2,285,568/1,984
  6. Step 6: Final answer
    x = 1,152

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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.