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Finding the Fourth Proportional to 2,659, 3,669.42 and 1,832.44

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Solution

The fourth proportional to 2,659, 3,669.42 and 1,832.44 is: 2,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659 : 3,669.42 = 1,832.44 : x
  2. Step 2: Convert to fraction form
    2,659/3,669.42 = 1,832.44/x
  3. Step 3: Cross multiply
    2,659x = 3,669.42 × 1,832.44
  4. Step 4: Simplify right side
    2,659x = 6,723,991.98
  5. Step 5: Solve for x
    x = 6,723,991.98/2,659
  6. Step 6: Final answer
    x = 2,528.77

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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.