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Finding the Fourth Proportional to 3,289.04, 4,933.87 and 949.02

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Solution

The fourth proportional to 3,289.04, 4,933.87 and 949.02 is: 1,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.04 : 4,933.87 = 949.02 : x
  2. Step 2: Convert to fraction form
    3,289.04/4,933.87 = 949.02/x
  3. Step 3: Cross multiply
    3,289.04x = 4,933.87 × 949.02
  4. Step 4: Simplify right side
    3,289.04x = 4,682,338.93
  5. Step 5: Solve for x
    x = 4,682,338.93/3,289.04
  6. Step 6: Final answer
    x = 1,423.62

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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.