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Finding the Fourth Proportional to 2,241.21, 3,362.77 and 779.56

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Solution

The fourth proportional to 2,241.21, 3,362.77 and 779.56 is: 1,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.21 : 3,362.77 = 779.56 : x
  2. Step 2: Convert to fraction form
    2,241.21/3,362.77 = 779.56/x
  3. Step 3: Cross multiply
    2,241.21x = 3,362.77 × 779.56
  4. Step 4: Simplify right side
    2,241.21x = 2,621,480.98
  5. Step 5: Solve for x
    x = 2,621,480.98/2,241.21
  6. Step 6: Final answer
    x = 1,169.67

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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.