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Finding the Fourth Proportional to 2,845.94, 3,926.72 and 1,726.84

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Solution

The fourth proportional to 2,845.94, 3,926.72 and 1,726.84 is: 2,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.94 : 3,926.72 = 1,726.84 : x
  2. Step 2: Convert to fraction form
    2,845.94/3,926.72 = 1,726.84/x
  3. Step 3: Cross multiply
    2,845.94x = 3,926.72 × 1,726.84
  4. Step 4: Simplify right side
    2,845.94x = 6,780,811.67
  5. Step 5: Solve for x
    x = 6,780,811.67/2,845.94
  6. Step 6: Final answer
    x = 2,382.63

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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.