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Finding the Fourth Proportional to 3,100.17, 4,278.15 and 1,755.75

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Solution

The fourth proportional to 3,100.17, 4,278.15 and 1,755.75 is: 2,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.17 : 4,278.15 = 1,755.75 : x
  2. Step 2: Convert to fraction form
    3,100.17/4,278.15 = 1,755.75/x
  3. Step 3: Cross multiply
    3,100.17x = 4,278.15 × 1,755.75
  4. Step 4: Simplify right side
    3,100.17x = 7,511,361.86
  5. Step 5: Solve for x
    x = 7,511,361.86/3,100.17
  6. Step 6: Final answer
    x = 2,422.89

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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.