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Finding the Fourth Proportional to 2,786.94, 3,847.23 and 1,740.42

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Solution

The fourth proportional to 2,786.94, 3,847.23 and 1,740.42 is: 2,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.94 : 3,847.23 = 1,740.42 : x
  2. Step 2: Convert to fraction form
    2,786.94/3,847.23 = 1,740.42/x
  3. Step 3: Cross multiply
    2,786.94x = 3,847.23 × 1,740.42
  4. Step 4: Simplify right side
    2,786.94x = 6,695,796.04
  5. Step 5: Solve for x
    x = 6,695,796.04/2,786.94
  6. Step 6: Final answer
    x = 2,402.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.