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Finding the Fourth Proportional to 2,273.42, 3,409.82 and 713.05

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Solution

The fourth proportional to 2,273.42, 3,409.82 and 713.05 is: 1,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.42 : 3,409.82 = 713.05 : x
  2. Step 2: Convert to fraction form
    2,273.42/3,409.82 = 713.05/x
  3. Step 3: Cross multiply
    2,273.42x = 3,409.82 × 713.05
  4. Step 4: Simplify right side
    2,273.42x = 2,431,383.92
  5. Step 5: Solve for x
    x = 2,431,383.92/2,273.42
  6. Step 6: Final answer
    x = 1,069.48

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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.