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Finding the Fourth Proportional to 2,273.30, 3,409.34 and 629.46

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Solution

The fourth proportional to 2,273.30, 3,409.34 and 629.46 is: 944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.30 : 3,409.34 = 629.46 : x
  2. Step 2: Convert to fraction form
    2,273.30/3,409.34 = 629.46/x
  3. Step 3: Cross multiply
    2,273.30x = 3,409.34 × 629.46
  4. Step 4: Simplify right side
    2,273.30x = 2,146,043.16
  5. Step 5: Solve for x
    x = 2,146,043.16/2,273.30
  6. Step 6: Final answer
    x = 944.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.