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Finding the Fourth Proportional to 2,783.58, 3,843.27 and 1,840.20

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Solution

The fourth proportional to 2,783.58, 3,843.27 and 1,840.20 is: 2,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.58 : 3,843.27 = 1,840.20 : x
  2. Step 2: Convert to fraction form
    2,783.58/3,843.27 = 1,840.20/x
  3. Step 3: Cross multiply
    2,783.58x = 3,843.27 × 1,840.20
  4. Step 4: Simplify right side
    2,783.58x = 7,072,385.45
  5. Step 5: Solve for x
    x = 7,072,385.45/2,783.58
  6. Step 6: Final answer
    x = 2,540.75

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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.