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Finding the Fourth Proportional to 2,815.02, 3,882.14 and 1,694.01

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Solution

The fourth proportional to 2,815.02, 3,882.14 and 1,694.01 is: 2,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.02 : 3,882.14 = 1,694.01 : x
  2. Step 2: Convert to fraction form
    2,815.02/3,882.14 = 1,694.01/x
  3. Step 3: Cross multiply
    2,815.02x = 3,882.14 × 1,694.01
  4. Step 4: Simplify right side
    2,815.02x = 6,576,370.04
  5. Step 5: Solve for x
    x = 6,576,370.04/2,815.02
  6. Step 6: Final answer
    x = 2,336.18

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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.