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Finding the Fourth Proportional to 2,240.05, 3,360.07 and 779.22

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Solution

The fourth proportional to 2,240.05, 3,360.07 and 779.22 is: 1,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.05 : 3,360.07 = 779.22 : x
  2. Step 2: Convert to fraction form
    2,240.05/3,360.07 = 779.22/x
  3. Step 3: Cross multiply
    2,240.05x = 3,360.07 × 779.22
  4. Step 4: Simplify right side
    2,240.05x = 2,618,233.75
  5. Step 5: Solve for x
    x = 2,618,233.75/2,240.05
  6. Step 6: Final answer
    x = 1,168.83

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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.