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Finding the Fourth Proportional to 2,856.80, 4,286.02 and 1,190.60

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Solution

The fourth proportional to 2,856.80, 4,286.02 and 1,190.60 is: 1,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.80 : 4,286.02 = 1,190.60 : x
  2. Step 2: Convert to fraction form
    2,856.80/4,286.02 = 1,190.60/x
  3. Step 3: Cross multiply
    2,856.80x = 4,286.02 × 1,190.60
  4. Step 4: Simplify right side
    2,856.80x = 5,102,935.41
  5. Step 5: Solve for x
    x = 5,102,935.41/2,856.80
  6. Step 6: Final answer
    x = 1,786.24

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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.