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Finding the Fourth Proportional to 2,273.47, 3,409.83 and 629.98

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Solution

The fourth proportional to 2,273.47, 3,409.83 and 629.98 is: 944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.47 : 3,409.83 = 629.98 : x
  2. Step 2: Convert to fraction form
    2,273.47/3,409.83 = 629.98/x
  3. Step 3: Cross multiply
    2,273.47x = 3,409.83 × 629.98
  4. Step 4: Simplify right side
    2,273.47x = 2,148,116.18
  5. Step 5: Solve for x
    x = 2,148,116.18/2,273.47
  6. Step 6: Final answer
    x = 944.86

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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.