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Finding the Fourth Proportional to 2,965.94, 4,448.34 and 1,384.22

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Solution

The fourth proportional to 2,965.94, 4,448.34 and 1,384.22 is: 2,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.94 : 4,448.34 = 1,384.22 : x
  2. Step 2: Convert to fraction form
    2,965.94/4,448.34 = 1,384.22/x
  3. Step 3: Cross multiply
    2,965.94x = 4,448.34 × 1,384.22
  4. Step 4: Simplify right side
    2,965.94x = 6,157,474.27
  5. Step 5: Solve for x
    x = 6,157,474.27/2,965.94
  6. Step 6: Final answer
    x = 2,076.06

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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.