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Finding the Fourth Proportional to 2,486.08, 3,729.82 and 842.75

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Solution

The fourth proportional to 2,486.08, 3,729.82 and 842.75 is: 1,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.08 : 3,729.82 = 842.75 : x
  2. Step 2: Convert to fraction form
    2,486.08/3,729.82 = 842.75/x
  3. Step 3: Cross multiply
    2,486.08x = 3,729.82 × 842.75
  4. Step 4: Simplify right side
    2,486.08x = 3,143,323.97
  5. Step 5: Solve for x
    x = 3,143,323.97/2,486.08
  6. Step 6: Final answer
    x = 1,264.37

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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.