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Finding the Fourth Proportional to 2,269.69, 3,405.08 and 1,230.73

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Solution

The fourth proportional to 2,269.69, 3,405.08 and 1,230.73 is: 1,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.69 : 3,405.08 = 1,230.73 : x
  2. Step 2: Convert to fraction form
    2,269.69/3,405.08 = 1,230.73/x
  3. Step 3: Cross multiply
    2,269.69x = 3,405.08 × 1,230.73
  4. Step 4: Simplify right side
    2,269.69x = 4,190,734.11
  5. Step 5: Solve for x
    x = 4,190,734.11/2,269.69
  6. Step 6: Final answer
    x = 1,846.39

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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.