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Finding the Fourth Proportional to 3,230.98, 4,841.68 and 1,843.60

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Solution

The fourth proportional to 3,230.98, 4,841.68 and 1,843.60 is: 2,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.98 : 4,841.68 = 1,843.60 : x
  2. Step 2: Convert to fraction form
    3,230.98/4,841.68 = 1,843.60/x
  3. Step 3: Cross multiply
    3,230.98x = 4,841.68 × 1,843.60
  4. Step 4: Simplify right side
    3,230.98x = 8,926,121.25
  5. Step 5: Solve for x
    x = 8,926,121.25/3,230.98
  6. Step 6: Final answer
    x = 2,762.67

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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.