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Finding the Fourth Proportional to 2,419.89, 3,629.70 and 959.19

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Solution

The fourth proportional to 2,419.89, 3,629.70 and 959.19 is: 1,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.89 : 3,629.70 = 959.19 : x
  2. Step 2: Convert to fraction form
    2,419.89/3,629.70 = 959.19/x
  3. Step 3: Cross multiply
    2,419.89x = 3,629.70 × 959.19
  4. Step 4: Simplify right side
    2,419.89x = 3,481,571.94
  5. Step 5: Solve for x
    x = 3,481,571.94/2,419.89
  6. Step 6: Final answer
    x = 1,438.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.