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Finding the Fourth Proportional to 2,096.39, 3,142.36 and 998.44

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Solution

The fourth proportional to 2,096.39, 3,142.36 and 998.44 is: 1,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.39 : 3,142.36 = 998.44 : x
  2. Step 2: Convert to fraction form
    2,096.39/3,142.36 = 998.44/x
  3. Step 3: Cross multiply
    2,096.39x = 3,142.36 × 998.44
  4. Step 4: Simplify right side
    2,096.39x = 3,137,437.21
  5. Step 5: Solve for x
    x = 3,137,437.21/2,096.39
  6. Step 6: Final answer
    x = 1,496.59

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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.