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Finding the Fourth Proportional to 2,273.06, 3,409.97 and 812.13

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Solution

The fourth proportional to 2,273.06, 3,409.97 and 812.13 is: 1,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.06 : 3,409.97 = 812.13 : x
  2. Step 2: Convert to fraction form
    2,273.06/3,409.97 = 812.13/x
  3. Step 3: Cross multiply
    2,273.06x = 3,409.97 × 812.13
  4. Step 4: Simplify right side
    2,273.06x = 2,769,322.09
  5. Step 5: Solve for x
    x = 2,769,322.09/2,273.06
  6. Step 6: Final answer
    x = 1,218.32

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1.5x scale

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.