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Finding the Fourth Proportional to 2,273.08, 3,409.62 and 629.63

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Solution

The fourth proportional to 2,273.08, 3,409.62 and 629.63 is: 944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.08 : 3,409.62 = 629.63 : x
  2. Step 2: Convert to fraction form
    2,273.08/3,409.62 = 629.63/x
  3. Step 3: Cross multiply
    2,273.08x = 3,409.62 × 629.63
  4. Step 4: Simplify right side
    2,273.08x = 2,146,778.84
  5. Step 5: Solve for x
    x = 2,146,778.84/2,273.08
  6. Step 6: Final answer
    x = 944.44

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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.