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Finding the Fourth Proportional to 1,960.58, 2,705.67 and 1,076.41

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Solution

The fourth proportional to 1,960.58, 2,705.67 and 1,076.41 is: 1,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.58 : 2,705.67 = 1,076.41 : x
  2. Step 2: Convert to fraction form
    1,960.58/2,705.67 = 1,076.41/x
  3. Step 3: Cross multiply
    1,960.58x = 2,705.67 × 1,076.41
  4. Step 4: Simplify right side
    1,960.58x = 2,912,410.24
  5. Step 5: Solve for x
    x = 2,912,410.24/1,960.58
  6. Step 6: Final answer
    x = 1,485.48

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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.