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Finding the Fourth Proportional to 2,273.44, 3,410.16 and 629.99

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Solution

The fourth proportional to 2,273.44, 3,410.16 and 629.99 is: 944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.44 : 3,410.16 = 629.99 : x
  2. Step 2: Convert to fraction form
    2,273.44/3,410.16 = 629.99/x
  3. Step 3: Cross multiply
    2,273.44x = 3,410.16 × 629.99
  4. Step 4: Simplify right side
    2,273.44x = 2,148,362.44
  5. Step 5: Solve for x
    x = 2,148,362.44/2,273.44
  6. Step 6: Final answer
    x = 944.98

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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.