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Finding the Fourth Proportional to 2,584.88, 3,877.91 and 941.44

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Solution

The fourth proportional to 2,584.88, 3,877.91 and 941.44 is: 1,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 3,877.91 = 941.44 : x
  2. Step 2: Convert to fraction form
    2,584.88/3,877.91 = 941.44/x
  3. Step 3: Cross multiply
    2,584.88x = 3,877.91 × 941.44
  4. Step 4: Simplify right side
    2,584.88x = 3,650,819.59
  5. Step 5: Solve for x
    x = 3,650,819.59/2,584.88
  6. Step 6: Final answer
    x = 1,412.37

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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.