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Finding the Fourth Proportional to 2,760.89, 3,807.96 and 1,921.64

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Solution

The fourth proportional to 2,760.89, 3,807.96 and 1,921.64 is: 2,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.89 : 3,807.96 = 1,921.64 : x
  2. Step 2: Convert to fraction form
    2,760.89/3,807.96 = 1,921.64/x
  3. Step 3: Cross multiply
    2,760.89x = 3,807.96 × 1,921.64
  4. Step 4: Simplify right side
    2,760.89x = 7,317,528.25
  5. Step 5: Solve for x
    x = 7,317,528.25/2,760.89
  6. Step 6: Final answer
    x = 2,650.42

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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.