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Finding the Fourth Proportional to 2,270, 3,405 and 731

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Solution

The fourth proportional to 2,270, 3,405 and 731 is: 1,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,405 = 731 : x
  2. Step 2: Convert to fraction form
    2,270/3,405 = 731/x
  3. Step 3: Cross multiply
    2,270x = 3,405 × 731
  4. Step 4: Simplify right side
    2,270x = 2,489,055
  5. Step 5: Solve for x
    x = 2,489,055/2,270
  6. Step 6: Final answer
    x = 1,096.50

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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.