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Finding the Fourth Proportional to 2,583.88, 3,876.41 and 940.44

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Solution

The fourth proportional to 2,583.88, 3,876.41 and 940.44 is: 1,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.88 : 3,876.41 = 940.44 : x
  2. Step 2: Convert to fraction form
    2,583.88/3,876.41 = 940.44/x
  3. Step 3: Cross multiply
    2,583.88x = 3,876.41 × 940.44
  4. Step 4: Simplify right side
    2,583.88x = 3,645,542.62
  5. Step 5: Solve for x
    x = 3,645,542.62/2,583.88
  6. Step 6: Final answer
    x = 1,410.88

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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.