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Finding the Fourth Proportional to 2,773.94, 4,165.86 and 2,662.45

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Solution

The fourth proportional to 2,773.94, 4,165.86 and 2,662.45 is: 3,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.94 : 4,165.86 = 2,662.45 : x
  2. Step 2: Convert to fraction form
    2,773.94/4,165.86 = 2,662.45/x
  3. Step 3: Cross multiply
    2,773.94x = 4,165.86 × 2,662.45
  4. Step 4: Simplify right side
    2,773.94x = 11,091,393.96
  5. Step 5: Solve for x
    x = 11,091,393.96/2,773.94
  6. Step 6: Final answer
    x = 3,998.43

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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.