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Finding the Fourth Proportional to 2,096.22, 3,144.30 and 536.22

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Solution

The fourth proportional to 2,096.22, 3,144.30 and 536.22 is: 804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.22 : 3,144.30 = 536.22 : x
  2. Step 2: Convert to fraction form
    2,096.22/3,144.30 = 536.22/x
  3. Step 3: Cross multiply
    2,096.22x = 3,144.30 × 536.22
  4. Step 4: Simplify right side
    2,096.22x = 1,686,036.55
  5. Step 5: Solve for x
    x = 1,686,036.55/2,096.22
  6. Step 6: Final answer
    x = 804.32

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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.