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Finding the Fourth Proportional to 2,270.70, 3,406.46 and 627.21

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Solution

The fourth proportional to 2,270.70, 3,406.46 and 627.21 is: 940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.70 : 3,406.46 = 627.21 : x
  2. Step 2: Convert to fraction form
    2,270.70/3,406.46 = 627.21/x
  3. Step 3: Cross multiply
    2,270.70x = 3,406.46 × 627.21
  4. Step 4: Simplify right side
    2,270.70x = 2,136,562.64
  5. Step 5: Solve for x
    x = 2,136,562.64/2,270.70
  6. Step 6: Final answer
    x = 940.93

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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.