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Finding the Fourth Proportional to 2,961.87, 4,087.53 and 1,965.45

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Solution

The fourth proportional to 2,961.87, 4,087.53 and 1,965.45 is: 2,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.87 : 4,087.53 = 1,965.45 : x
  2. Step 2: Convert to fraction form
    2,961.87/4,087.53 = 1,965.45/x
  3. Step 3: Cross multiply
    2,961.87x = 4,087.53 × 1,965.45
  4. Step 4: Simplify right side
    2,961.87x = 8,033,835.84
  5. Step 5: Solve for x
    x = 8,033,835.84/2,961.87
  6. Step 6: Final answer
    x = 2,712.42

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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.