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Finding the Fourth Proportional to 2,760.94, 3,810.81 and 1,921.78

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Solution

The fourth proportional to 2,760.94, 3,810.81 and 1,921.78 is: 2,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.94 : 3,810.81 = 1,921.78 : x
  2. Step 2: Convert to fraction form
    2,760.94/3,810.81 = 1,921.78/x
  3. Step 3: Cross multiply
    2,760.94x = 3,810.81 × 1,921.78
  4. Step 4: Simplify right side
    2,760.94x = 7,323,538.44
  5. Step 5: Solve for x
    x = 7,323,538.44/2,760.94
  6. Step 6: Final answer
    x = 2,652.55

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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.