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Finding the Fourth Proportional to 2,270.74, 3,406 and 710.73

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Solution

The fourth proportional to 2,270.74, 3,406 and 710.73 is: 1,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.74 : 3,406 = 710.73 : x
  2. Step 2: Convert to fraction form
    2,270.74/3,406 = 710.73/x
  3. Step 3: Cross multiply
    2,270.74x = 3,406 × 710.73
  4. Step 4: Simplify right side
    2,270.74x = 2,420,746.38
  5. Step 5: Solve for x
    x = 2,420,746.38/2,270.74
  6. Step 6: Final answer
    x = 1,066.06

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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.