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Finding the Fourth Proportional to 2,125.94, 3,187.69 and 825.89

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Solution

The fourth proportional to 2,125.94, 3,187.69 and 825.89 is: 1,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.94 : 3,187.69 = 825.89 : x
  2. Step 2: Convert to fraction form
    2,125.94/3,187.69 = 825.89/x
  3. Step 3: Cross multiply
    2,125.94x = 3,187.69 × 825.89
  4. Step 4: Simplify right side
    2,125.94x = 2,632,687.20
  5. Step 5: Solve for x
    x = 2,632,687.20/2,125.94
  6. Step 6: Final answer
    x = 1,238.36

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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.