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Finding the Fourth Proportional to 1,852.22, 2,778.72 and 535.97

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Solution

The fourth proportional to 1,852.22, 2,778.72 and 535.97 is: 804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.22 : 2,778.72 = 535.97 : x
  2. Step 2: Convert to fraction form
    1,852.22/2,778.72 = 535.97/x
  3. Step 3: Cross multiply
    1,852.22x = 2,778.72 × 535.97
  4. Step 4: Simplify right side
    1,852.22x = 1,489,310.56
  5. Step 5: Solve for x
    x = 1,489,310.56/1,852.22
  6. Step 6: Final answer
    x = 804.07

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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.