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Finding the Fourth Proportional to 2,235.64, 3,087.84 and 1,940.80

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Solution

The fourth proportional to 2,235.64, 3,087.84 and 1,940.80 is: 2,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.64 : 3,087.84 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    2,235.64/3,087.84 = 1,940.80/x
  3. Step 3: Cross multiply
    2,235.64x = 3,087.84 × 1,940.80
  4. Step 4: Simplify right side
    2,235.64x = 5,992,879.87
  5. Step 5: Solve for x
    x = 5,992,879.87/2,235.64
  6. Step 6: Final answer
    x = 2,680.61

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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.