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Finding the Fourth Proportional to 1,992.54, 2,986.57 and 967.26

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Solution

The fourth proportional to 1,992.54, 2,986.57 and 967.26 is: 1,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.54 : 2,986.57 = 967.26 : x
  2. Step 2: Convert to fraction form
    1,992.54/2,986.57 = 967.26/x
  3. Step 3: Cross multiply
    1,992.54x = 2,986.57 × 967.26
  4. Step 4: Simplify right side
    1,992.54x = 2,888,789.70
  5. Step 5: Solve for x
    x = 2,888,789.70/1,992.54
  6. Step 6: Final answer
    x = 1,449.80

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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.