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Finding the Fourth Proportional to 2,321.98, 3,481.38 and 860.35

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Solution

The fourth proportional to 2,321.98, 3,481.38 and 860.35 is: 1,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.98 : 3,481.38 = 860.35 : x
  2. Step 2: Convert to fraction form
    2,321.98/3,481.38 = 860.35/x
  3. Step 3: Cross multiply
    2,321.98x = 3,481.38 × 860.35
  4. Step 4: Simplify right side
    2,321.98x = 2,995,205.28
  5. Step 5: Solve for x
    x = 2,995,205.28/2,321.98
  6. Step 6: Final answer
    x = 1,289.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.