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Finding the Fourth Proportional to 1,786, 2,680.44 and 920.56

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Solution

The fourth proportional to 1,786, 2,680.44 and 920.56 is: 1,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,680.44 = 920.56 : x
  2. Step 2: Convert to fraction form
    1,786/2,680.44 = 920.56/x
  3. Step 3: Cross multiply
    1,786x = 2,680.44 × 920.56
  4. Step 4: Simplify right side
    1,786x = 2,467,505.85
  5. Step 5: Solve for x
    x = 2,467,505.85/1,786
  6. Step 6: Final answer
    x = 1,381.58

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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.