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Finding the Fourth Proportional to 1,273.20, 1,906.20 and 1,237.20

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Solution

The fourth proportional to 1,273.20, 1,906.20 and 1,237.20 is: 1,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.20 : 1,906.20 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    1,273.20/1,906.20 = 1,237.20/x
  3. Step 3: Cross multiply
    1,273.20x = 1,906.20 × 1,237.20
  4. Step 4: Simplify right side
    1,273.20x = 2,358,350.64
  5. Step 5: Solve for x
    x = 2,358,350.64/1,273.20
  6. Step 6: Final answer
    x = 1,852.30

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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.