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Finding the Fourth Proportional to 2,353.56, 3,243.84 and 2,082.06

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Solution

The fourth proportional to 2,353.56, 3,243.84 and 2,082.06 is: 2,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.56 : 3,243.84 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    2,353.56/3,243.84 = 2,082.06/x
  3. Step 3: Cross multiply
    2,353.56x = 3,243.84 × 2,082.06
  4. Step 4: Simplify right side
    2,353.56x = 6,753,869.51
  5. Step 5: Solve for x
    x = 6,753,869.51/2,353.56
  6. Step 6: Final answer
    x = 2,869.64

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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.