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Finding the Fourth Proportional to 2,242.62, 3,365.10 and 1,270.62

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Solution

The fourth proportional to 2,242.62, 3,365.10 and 1,270.62 is: 1,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.62 : 3,365.10 = 1,270.62 : x
  2. Step 2: Convert to fraction form
    2,242.62/3,365.10 = 1,270.62/x
  3. Step 3: Cross multiply
    2,242.62x = 3,365.10 × 1,270.62
  4. Step 4: Simplify right side
    2,242.62x = 4,275,763.36
  5. Step 5: Solve for x
    x = 4,275,763.36/2,242.62
  6. Step 6: Final answer
    x = 1,906.59

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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.