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Finding the Fourth Proportional to 2,096.40, 3,141.90 and 998.40

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Solution

The fourth proportional to 2,096.40, 3,141.90 and 998.40 is: 1,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.40 : 3,141.90 = 998.40 : x
  2. Step 2: Convert to fraction form
    2,096.40/3,141.90 = 998.40/x
  3. Step 3: Cross multiply
    2,096.40x = 3,141.90 × 998.40
  4. Step 4: Simplify right side
    2,096.40x = 3,136,872.96
  5. Step 5: Solve for x
    x = 3,136,872.96/2,096.40
  6. Step 6: Final answer
    x = 1,496.31

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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.