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Finding the Fourth Proportional to 2,273.87, 3,409.90 and 812.53

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Solution

The fourth proportional to 2,273.87, 3,409.90 and 812.53 is: 1,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.87 : 3,409.90 = 812.53 : x
  2. Step 2: Convert to fraction form
    2,273.87/3,409.90 = 812.53/x
  3. Step 3: Cross multiply
    2,273.87x = 3,409.90 × 812.53
  4. Step 4: Simplify right side
    2,273.87x = 2,770,648.28
  5. Step 5: Solve for x
    x = 2,770,648.28/2,273.87
  6. Step 6: Final answer
    x = 1,218.47

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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.