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Finding the Fourth Proportional to 2,270.63, 3,405.91 and 627.14

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Solution

The fourth proportional to 2,270.63, 3,405.91 and 627.14 is: 940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.63 : 3,405.91 = 627.14 : x
  2. Step 2: Convert to fraction form
    2,270.63/3,405.91 = 627.14/x
  3. Step 3: Cross multiply
    2,270.63x = 3,405.91 × 627.14
  4. Step 4: Simplify right side
    2,270.63x = 2,135,982.40
  5. Step 5: Solve for x
    x = 2,135,982.40/2,270.63
  6. Step 6: Final answer
    x = 940.70

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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.