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Finding the Fourth Proportional to 2,846.69, 3,927.30 and 1,727.22

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Solution

The fourth proportional to 2,846.69, 3,927.30 and 1,727.22 is: 2,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.69 : 3,927.30 = 1,727.22 : x
  2. Step 2: Convert to fraction form
    2,846.69/3,927.30 = 1,727.22/x
  3. Step 3: Cross multiply
    2,846.69x = 3,927.30 × 1,727.22
  4. Step 4: Simplify right side
    2,846.69x = 6,783,311.11
  5. Step 5: Solve for x
    x = 6,783,311.11/2,846.69
  6. Step 6: Final answer
    x = 2,382.88

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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.