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Finding the Fourth Proportional to 2,092.22, 3,137.78 and 994.40

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Solution

The fourth proportional to 2,092.22, 3,137.78 and 994.40 is: 1,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.22 : 3,137.78 = 994.40 : x
  2. Step 2: Convert to fraction form
    2,092.22/3,137.78 = 994.40/x
  3. Step 3: Cross multiply
    2,092.22x = 3,137.78 × 994.40
  4. Step 4: Simplify right side
    2,092.22x = 3,120,187.77
  5. Step 5: Solve for x
    x = 3,120,187.77/2,092.22
  6. Step 6: Final answer
    x = 1,491.33

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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.