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Finding the Fourth Proportional to 2,874.60, 3,968.82 and 1,813.86

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Solution

The fourth proportional to 2,874.60, 3,968.82 and 1,813.86 is: 2,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.60 : 3,968.82 = 1,813.86 : x
  2. Step 2: Convert to fraction form
    2,874.60/3,968.82 = 1,813.86/x
  3. Step 3: Cross multiply
    2,874.60x = 3,968.82 × 1,813.86
  4. Step 4: Simplify right side
    2,874.60x = 7,198,883.85
  5. Step 5: Solve for x
    x = 7,198,883.85/2,874.60
  6. Step 6: Final answer
    x = 2,504.31

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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.