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Finding the Fourth Proportional to 2,096.44, 3,145.20 and 798.01

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Solution

The fourth proportional to 2,096.44, 3,145.20 and 798.01 is: 1,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.44 : 3,145.20 = 798.01 : x
  2. Step 2: Convert to fraction form
    2,096.44/3,145.20 = 798.01/x
  3. Step 3: Cross multiply
    2,096.44x = 3,145.20 × 798.01
  4. Step 4: Simplify right side
    2,096.44x = 2,509,901.05
  5. Step 5: Solve for x
    x = 2,509,901.05/2,096.44
  6. Step 6: Final answer
    x = 1,197.22

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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.