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Finding the Fourth Proportional to 2,783.78, 4,178.22 and 1,745.64

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Solution

The fourth proportional to 2,783.78, 4,178.22 and 1,745.64 is: 2,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,178.22 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,178.22 = 1,745.64/x
  3. Step 3: Cross multiply
    2,783.78x = 4,178.22 × 1,745.64
  4. Step 4: Simplify right side
    2,783.78x = 7,293,667.96
  5. Step 5: Solve for x
    x = 7,293,667.96/2,783.78
  6. Step 6: Final answer
    x = 2,620.06

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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.