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Finding the Fourth Proportional to 2,273.59, 3,410 and 629.75

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Solution

The fourth proportional to 2,273.59, 3,410 and 629.75 is: 944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.59 : 3,410 = 629.75 : x
  2. Step 2: Convert to fraction form
    2,273.59/3,410 = 629.75/x
  3. Step 3: Cross multiply
    2,273.59x = 3,410 × 629.75
  4. Step 4: Simplify right side
    2,273.59x = 2,147,447.50
  5. Step 5: Solve for x
    x = 2,147,447.50/2,273.59
  6. Step 6: Final answer
    x = 944.52

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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.