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Finding the Fourth Proportional to 1,832.63, 2,529 and 993.32

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Solution

The fourth proportional to 1,832.63, 2,529 and 993.32 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.63 : 2,529 = 993.32 : x
  2. Step 2: Convert to fraction form
    1,832.63/2,529 = 993.32/x
  3. Step 3: Cross multiply
    1,832.63x = 2,529 × 993.32
  4. Step 4: Simplify right side
    1,832.63x = 2,512,103.12
  5. Step 5: Solve for x
    x = 2,512,103.12/1,832.63
  6. Step 6: Final answer
    x = 1,370.77

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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.