Home / 2,273.12-3,410.30-812.40

Finding the Fourth Proportional to 2,273.12, 3,410.30 and 812.40

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Solution

The fourth proportional to 2,273.12, 3,410.30 and 812.40 is: 1,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.12 : 3,410.30 = 812.40 : x
  2. Step 2: Convert to fraction form
    2,273.12/3,410.30 = 812.40/x
  3. Step 3: Cross multiply
    2,273.12x = 3,410.30 × 812.40
  4. Step 4: Simplify right side
    2,273.12x = 2,770,527.72
  5. Step 5: Solve for x
    x = 2,770,527.72/2,273.12
  6. Step 6: Final answer
    x = 1,218.82

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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.