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Finding the Fourth Proportional to 2,063.23, 3,092.86 and 675.60

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Solution

The fourth proportional to 2,063.23, 3,092.86 and 675.60 is: 1,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.23 : 3,092.86 = 675.60 : x
  2. Step 2: Convert to fraction form
    2,063.23/3,092.86 = 675.60/x
  3. Step 3: Cross multiply
    2,063.23x = 3,092.86 × 675.60
  4. Step 4: Simplify right side
    2,063.23x = 2,089,542.26
  5. Step 5: Solve for x
    x = 2,089,542.26/2,063.23
  6. Step 6: Final answer
    x = 1,012.75

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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.