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Finding the Fourth Proportional to 2,273.19, 3,409.16 and 629.61

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Solution

The fourth proportional to 2,273.19, 3,409.16 and 629.61 is: 944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.19 : 3,409.16 = 629.61 : x
  2. Step 2: Convert to fraction form
    2,273.19/3,409.16 = 629.61/x
  3. Step 3: Cross multiply
    2,273.19x = 3,409.16 × 629.61
  4. Step 4: Simplify right side
    2,273.19x = 2,146,438.08
  5. Step 5: Solve for x
    x = 2,146,438.08/2,273.19
  6. Step 6: Final answer
    x = 944.24

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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.