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Finding the Fourth Proportional to 2,694.52, 4,038 and 1,871.56

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Solution

The fourth proportional to 2,694.52, 4,038 and 1,871.56 is: 2,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.52 : 4,038 = 1,871.56 : x
  2. Step 2: Convert to fraction form
    2,694.52/4,038 = 1,871.56/x
  3. Step 3: Cross multiply
    2,694.52x = 4,038 × 1,871.56
  4. Step 4: Simplify right side
    2,694.52x = 7,557,359.28
  5. Step 5: Solve for x
    x = 7,557,359.28/2,694.52
  6. Step 6: Final answer
    x = 2,804.71

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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.