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Finding the Fourth Proportional to 3,096.96, 4,642.56 and 1,728

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Solution

The fourth proportional to 3,096.96, 4,642.56 and 1,728 is: 2,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.96 : 4,642.56 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,096.96/4,642.56 = 1,728/x
  3. Step 3: Cross multiply
    3,096.96x = 4,642.56 × 1,728
  4. Step 4: Simplify right side
    3,096.96x = 8,022,343.68
  5. Step 5: Solve for x
    x = 8,022,343.68/3,096.96
  6. Step 6: Final answer
    x = 2,590.39

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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.