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Finding the Fourth Proportional to 2,270.46, 3,405.44 and 627.24

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Solution

The fourth proportional to 2,270.46, 3,405.44 and 627.24 is: 940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.46 : 3,405.44 = 627.24 : x
  2. Step 2: Convert to fraction form
    2,270.46/3,405.44 = 627.24/x
  3. Step 3: Cross multiply
    2,270.46x = 3,405.44 × 627.24
  4. Step 4: Simplify right side
    2,270.46x = 2,136,025.05
  5. Step 5: Solve for x
    x = 2,136,025.05/2,270.46
  6. Step 6: Final answer
    x = 940.79

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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.