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Finding the Fourth Proportional to 2,240.82, 3,361.80 and 779.99

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Solution

The fourth proportional to 2,240.82, 3,361.80 and 779.99 is: 1,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.82 : 3,361.80 = 779.99 : x
  2. Step 2: Convert to fraction form
    2,240.82/3,361.80 = 779.99/x
  3. Step 3: Cross multiply
    2,240.82x = 3,361.80 × 779.99
  4. Step 4: Simplify right side
    2,240.82x = 2,622,153.57
  5. Step 5: Solve for x
    x = 2,622,153.57/2,240.82
  6. Step 6: Final answer
    x = 1,170.18

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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.