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Finding the Fourth Proportional to 2,821.98, 3,894.32 and 1,579.98

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Solution

The fourth proportional to 2,821.98, 3,894.32 and 1,579.98 is: 2,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.98 : 3,894.32 = 1,579.98 : x
  2. Step 2: Convert to fraction form
    2,821.98/3,894.32 = 1,579.98/x
  3. Step 3: Cross multiply
    2,821.98x = 3,894.32 × 1,579.98
  4. Step 4: Simplify right side
    2,821.98x = 6,152,951.66
  5. Step 5: Solve for x
    x = 6,152,951.66/2,821.98
  6. Step 6: Final answer
    x = 2,180.37

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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.