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Finding the Fourth Proportional to 2,096.44, 3,144.65 and 536.44

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Solution

The fourth proportional to 2,096.44, 3,144.65 and 536.44 is: 804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.44 : 3,144.65 = 536.44 : x
  2. Step 2: Convert to fraction form
    2,096.44/3,144.65 = 536.44/x
  3. Step 3: Cross multiply
    2,096.44x = 3,144.65 × 536.44
  4. Step 4: Simplify right side
    2,096.44x = 1,686,919.31
  5. Step 5: Solve for x
    x = 1,686,919.31/2,096.44
  6. Step 6: Final answer
    x = 804.66

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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.