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Finding the Fourth Proportional to 2,610.94, 3,917.31 and 1,635.88

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Solution

The fourth proportional to 2,610.94, 3,917.31 and 1,635.88 is: 2,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.94 : 3,917.31 = 1,635.88 : x
  2. Step 2: Convert to fraction form
    2,610.94/3,917.31 = 1,635.88/x
  3. Step 3: Cross multiply
    2,610.94x = 3,917.31 × 1,635.88
  4. Step 4: Simplify right side
    2,610.94x = 6,408,249.08
  5. Step 5: Solve for x
    x = 6,408,249.08/2,610.94
  6. Step 6: Final answer
    x = 2,454.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.