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Finding the Fourth Proportional to 1,958.14, 2,933.91 and 969.64

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Solution

The fourth proportional to 1,958.14, 2,933.91 and 969.64 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.14 : 2,933.91 = 969.64 : x
  2. Step 2: Convert to fraction form
    1,958.14/2,933.91 = 969.64/x
  3. Step 3: Cross multiply
    1,958.14x = 2,933.91 × 969.64
  4. Step 4: Simplify right side
    1,958.14x = 2,844,836.49
  5. Step 5: Solve for x
    x = 2,844,836.49/1,958.14
  6. Step 6: Final answer
    x = 1,452.83

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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.