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Finding the Fourth Proportional to 2,805.45, 3,878.52 and 2,105.61

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Solution

The fourth proportional to 2,805.45, 3,878.52 and 2,105.61 is: 2,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.45 : 3,878.52 = 2,105.61 : x
  2. Step 2: Convert to fraction form
    2,805.45/3,878.52 = 2,105.61/x
  3. Step 3: Cross multiply
    2,805.45x = 3,878.52 × 2,105.61
  4. Step 4: Simplify right side
    2,805.45x = 8,166,650.50
  5. Step 5: Solve for x
    x = 8,166,650.50/2,805.45
  6. Step 6: Final answer
    x = 2,910.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.