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Finding the Fourth Proportional to 3,022.36, 4,532.57 and 969.88

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Solution

The fourth proportional to 3,022.36, 4,532.57 and 969.88 is: 1,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.36 : 4,532.57 = 969.88 : x
  2. Step 2: Convert to fraction form
    3,022.36/4,532.57 = 969.88/x
  3. Step 3: Cross multiply
    3,022.36x = 4,532.57 × 969.88
  4. Step 4: Simplify right side
    3,022.36x = 4,396,028.75
  5. Step 5: Solve for x
    x = 4,396,028.75/3,022.36
  6. Step 6: Final answer
    x = 1,454.50

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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.