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Finding the Fourth Proportional to 2,315.82, 3,473.09 and 1,082.02

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Solution

The fourth proportional to 2,315.82, 3,473.09 and 1,082.02 is: 1,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.82 : 3,473.09 = 1,082.02 : x
  2. Step 2: Convert to fraction form
    2,315.82/3,473.09 = 1,082.02/x
  3. Step 3: Cross multiply
    2,315.82x = 3,473.09 × 1,082.02
  4. Step 4: Simplify right side
    2,315.82x = 3,757,952.84
  5. Step 5: Solve for x
    x = 3,757,952.84/2,315.82
  6. Step 6: Final answer
    x = 1,622.73

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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.