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Finding the Fourth Proportional to 2,270.75, 3,406.05 and 627.39

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Solution

The fourth proportional to 2,270.75, 3,406.05 and 627.39 is: 941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.75 : 3,406.05 = 627.39 : x
  2. Step 2: Convert to fraction form
    2,270.75/3,406.05 = 627.39/x
  3. Step 3: Cross multiply
    2,270.75x = 3,406.05 × 627.39
  4. Step 4: Simplify right side
    2,270.75x = 2,136,921.71
  5. Step 5: Solve for x
    x = 2,136,921.71/2,270.75
  6. Step 6: Final answer
    x = 941.07

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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.