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Finding the Fourth Proportional to 2,755.88, 3,800.76 and 1,961.72

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Solution

The fourth proportional to 2,755.88, 3,800.76 and 1,961.72 is: 2,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.88 : 3,800.76 = 1,961.72 : x
  2. Step 2: Convert to fraction form
    2,755.88/3,800.76 = 1,961.72/x
  3. Step 3: Cross multiply
    2,755.88x = 3,800.76 × 1,961.72
  4. Step 4: Simplify right side
    2,755.88x = 7,456,026.91
  5. Step 5: Solve for x
    x = 7,456,026.91/2,755.88
  6. Step 6: Final answer
    x = 2,705.50

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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.