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Finding the Fourth Proportional to 2,096.23, 3,144.32 and 536.22

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Solution

The fourth proportional to 2,096.23, 3,144.32 and 536.22 is: 804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.23 : 3,144.32 = 536.22 : x
  2. Step 2: Convert to fraction form
    2,096.23/3,144.32 = 536.22/x
  3. Step 3: Cross multiply
    2,096.23x = 3,144.32 × 536.22
  4. Step 4: Simplify right side
    2,096.23x = 1,686,049.19
  5. Step 5: Solve for x
    x = 1,686,049.19/2,096.23
  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.