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Finding the Fourth Proportional to 2,796.92, 3,877.69 and 2,641.40

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Solution

The fourth proportional to 2,796.92, 3,877.69 and 2,641.40 is: 3,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.92 : 3,877.69 = 2,641.40 : x
  2. Step 2: Convert to fraction form
    2,796.92/3,877.69 = 2,641.40/x
  3. Step 3: Cross multiply
    2,796.92x = 3,877.69 × 2,641.40
  4. Step 4: Simplify right side
    2,796.92x = 10,242,530.37
  5. Step 5: Solve for x
    x = 10,242,530.37/2,796.92
  6. Step 6: Final answer
    x = 3,662.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.