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Finding the Fourth Proportional to 2,961.36, 4,441.26 and 880.80

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Solution

The fourth proportional to 2,961.36, 4,441.26 and 880.80 is: 1,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.36 : 4,441.26 = 880.80 : x
  2. Step 2: Convert to fraction form
    2,961.36/4,441.26 = 880.80/x
  3. Step 3: Cross multiply
    2,961.36x = 4,441.26 × 880.80
  4. Step 4: Simplify right side
    2,961.36x = 3,911,872.91
  5. Step 5: Solve for x
    x = 3,911,872.91/2,961.36
  6. Step 6: Final answer
    x = 1,320.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.