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Finding the Fourth Proportional to 1,990.28, 2,983.26 and 949.64

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Solution

The fourth proportional to 1,990.28, 2,983.26 and 949.64 is: 1,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.28 : 2,983.26 = 949.64 : x
  2. Step 2: Convert to fraction form
    1,990.28/2,983.26 = 949.64/x
  3. Step 3: Cross multiply
    1,990.28x = 2,983.26 × 949.64
  4. Step 4: Simplify right side
    1,990.28x = 2,833,023.03
  5. Step 5: Solve for x
    x = 2,833,023.03/1,990.28
  6. Step 6: Final answer
    x = 1,423.43

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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.