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Finding the Fourth Proportional to 3,243.65, 4,865.60 and 1,269.20

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Solution

The fourth proportional to 3,243.65, 4,865.60 and 1,269.20 is: 1,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.65 : 4,865.60 = 1,269.20 : x
  2. Step 2: Convert to fraction form
    3,243.65/4,865.60 = 1,269.20/x
  3. Step 3: Cross multiply
    3,243.65x = 4,865.60 × 1,269.20
  4. Step 4: Simplify right side
    3,243.65x = 6,175,388.85
  5. Step 5: Solve for x
    x = 6,175,388.85/3,243.65
  6. Step 6: Final answer
    x = 1,903.84

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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.