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Finding the Fourth Proportional to 2,143.82, 2,961.75 and 1,832.31

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Solution

The fourth proportional to 2,143.82, 2,961.75 and 1,832.31 is: 2,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.82 : 2,961.75 = 1,832.31 : x
  2. Step 2: Convert to fraction form
    2,143.82/2,961.75 = 1,832.31/x
  3. Step 3: Cross multiply
    2,143.82x = 2,961.75 × 1,832.31
  4. Step 4: Simplify right side
    2,143.82x = 5,426,844.14
  5. Step 5: Solve for x
    x = 5,426,844.14/2,143.82
  6. Step 6: Final answer
    x = 2,531.39

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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.