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Finding the Fourth Proportional to 2,728.94, 4,093.46 and 880.22

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Solution

The fourth proportional to 2,728.94, 4,093.46 and 880.22 is: 1,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.94 : 4,093.46 = 880.22 : x
  2. Step 2: Convert to fraction form
    2,728.94/4,093.46 = 880.22/x
  3. Step 3: Cross multiply
    2,728.94x = 4,093.46 × 880.22
  4. Step 4: Simplify right side
    2,728.94x = 3,603,120.49
  5. Step 5: Solve for x
    x = 3,603,120.49/2,728.94
  6. Step 6: Final answer
    x = 1,320.34

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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.