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Finding the Fourth Proportional to 2,274.08, 3,410.40 and 812.40

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Solution

The fourth proportional to 2,274.08, 3,410.40 and 812.40 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.08 : 3,410.40 = 812.40 : x
  2. Step 2: Convert to fraction form
    2,274.08/3,410.40 = 812.40/x
  3. Step 3: Cross multiply
    2,274.08x = 3,410.40 × 812.40
  4. Step 4: Simplify right side
    2,274.08x = 2,770,608.96
  5. Step 5: Solve for x
    x = 2,770,608.96/2,274.08
  6. Step 6: Final answer
    x = 1,218.34

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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.