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Finding the Fourth Proportional to 2,096.47, 3,144.75 and 635.62

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Solution

The fourth proportional to 2,096.47, 3,144.75 and 635.62 is: 953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.47 : 3,144.75 = 635.62 : x
  2. Step 2: Convert to fraction form
    2,096.47/3,144.75 = 635.62/x
  3. Step 3: Cross multiply
    2,096.47x = 3,144.75 × 635.62
  4. Step 4: Simplify right side
    2,096.47x = 1,998,866.00
  5. Step 5: Solve for x
    x = 1,998,866.00/2,096.47
  6. Step 6: Final answer
    x = 953.44

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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.