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Finding the Fourth Proportional to 1,984.40, 2,976.38 and 523.56

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Solution

The fourth proportional to 1,984.40, 2,976.38 and 523.56 is: 785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.40 : 2,976.38 = 523.56 : x
  2. Step 2: Convert to fraction form
    1,984.40/2,976.38 = 523.56/x
  3. Step 3: Cross multiply
    1,984.40x = 2,976.38 × 523.56
  4. Step 4: Simplify right side
    1,984.40x = 1,558,310.90
  5. Step 5: Solve for x
    x = 1,558,310.90/1,984.40
  6. Step 6: Final answer
    x = 785.28

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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.