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Finding the Fourth Proportional to 3,186.54, 4,785.20 and 2,077.84

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Solution

The fourth proportional to 3,186.54, 4,785.20 and 2,077.84 is: 3,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.54 : 4,785.20 = 2,077.84 : x
  2. Step 2: Convert to fraction form
    3,186.54/4,785.20 = 2,077.84/x
  3. Step 3: Cross multiply
    3,186.54x = 4,785.20 × 2,077.84
  4. Step 4: Simplify right side
    3,186.54x = 9,942,879.97
  5. Step 5: Solve for x
    x = 9,942,879.97/3,186.54
  6. Step 6: Final answer
    x = 3,120.27

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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.