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Finding the Fourth Proportional to 1,964.36, 2,709.24 and 1,727.80

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Solution

The fourth proportional to 1,964.36, 2,709.24 and 1,727.80 is: 2,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.36 : 2,709.24 = 1,727.80 : x
  2. Step 2: Convert to fraction form
    1,964.36/2,709.24 = 1,727.80/x
  3. Step 3: Cross multiply
    1,964.36x = 2,709.24 × 1,727.80
  4. Step 4: Simplify right side
    1,964.36x = 4,681,024.87
  5. Step 5: Solve for x
    x = 4,681,024.87/1,964.36
  6. Step 6: Final answer
    x = 2,382.98

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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.