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Finding the Fourth Proportional to 2,069.50, 3,104.26 and 900.68

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Solution

The fourth proportional to 2,069.50, 3,104.26 and 900.68 is: 1,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.50 : 3,104.26 = 900.68 : x
  2. Step 2: Convert to fraction form
    2,069.50/3,104.26 = 900.68/x
  3. Step 3: Cross multiply
    2,069.50x = 3,104.26 × 900.68
  4. Step 4: Simplify right side
    2,069.50x = 2,795,944.90
  5. Step 5: Solve for x
    x = 2,795,944.90/2,069.50
  6. Step 6: Final answer
    x = 1,351.02

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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.