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Finding the Fourth Proportional to 2,272.92, 3,409.62 and 812.20

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Solution

The fourth proportional to 2,272.92, 3,409.62 and 812.20 is: 1,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.92 : 3,409.62 = 812.20 : x
  2. Step 2: Convert to fraction form
    2,272.92/3,409.62 = 812.20/x
  3. Step 3: Cross multiply
    2,272.92x = 3,409.62 × 812.20
  4. Step 4: Simplify right side
    2,272.92x = 2,769,293.36
  5. Step 5: Solve for x
    x = 2,769,293.36/2,272.92
  6. Step 6: Final answer
    x = 1,218.39

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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.