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Finding the Fourth Proportional to 2,096.48, 3,144.69 and 536.47

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Solution

The fourth proportional to 2,096.48, 3,144.69 and 536.47 is: 804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.48 : 3,144.69 = 536.47 : x
  2. Step 2: Convert to fraction form
    2,096.48/3,144.69 = 536.47/x
  3. Step 3: Cross multiply
    2,096.48x = 3,144.69 × 536.47
  4. Step 4: Simplify right side
    2,096.48x = 1,687,035.78
  5. Step 5: Solve for x
    x = 1,687,035.78/2,096.48
  6. Step 6: Final answer
    x = 804.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.