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Finding the Fourth Proportional to 2,119.65, 3,180.24 and 949.56

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Solution

The fourth proportional to 2,119.65, 3,180.24 and 949.56 is: 1,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.65 : 3,180.24 = 949.56 : x
  2. Step 2: Convert to fraction form
    2,119.65/3,180.24 = 949.56/x
  3. Step 3: Cross multiply
    2,119.65x = 3,180.24 × 949.56
  4. Step 4: Simplify right side
    2,119.65x = 3,019,828.69
  5. Step 5: Solve for x
    x = 3,019,828.69/2,119.65
  6. Step 6: Final answer
    x = 1,424.68

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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.