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Finding the Fourth Proportional to 3,182.97, 4,772.60 and 961.14

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Solution

The fourth proportional to 3,182.97, 4,772.60 and 961.14 is: 1,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.97 : 4,772.60 = 961.14 : x
  2. Step 2: Convert to fraction form
    3,182.97/4,772.60 = 961.14/x
  3. Step 3: Cross multiply
    3,182.97x = 4,772.60 × 961.14
  4. Step 4: Simplify right side
    3,182.97x = 4,587,137.33
  5. Step 5: Solve for x
    x = 4,587,137.33/3,182.97
  6. Step 6: Final answer
    x = 1,441.15

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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.