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Finding the Fourth Proportional to 2,409.09, 3,615.69 and 949.27

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Solution

The fourth proportional to 2,409.09, 3,615.69 and 949.27 is: 1,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.09 : 3,615.69 = 949.27 : x
  2. Step 2: Convert to fraction form
    2,409.09/3,615.69 = 949.27/x
  3. Step 3: Cross multiply
    2,409.09x = 3,615.69 × 949.27
  4. Step 4: Simplify right side
    2,409.09x = 3,432,266.05
  5. Step 5: Solve for x
    x = 3,432,266.05/2,409.09
  6. Step 6: Final answer
    x = 1,424.71

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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.