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Finding the Fourth Proportional to 2,494.30, 3,732.32 and 2,082.42

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Solution

The fourth proportional to 2,494.30, 3,732.32 and 2,082.42 is: 3,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.30 : 3,732.32 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    2,494.30/3,732.32 = 2,082.42/x
  3. Step 3: Cross multiply
    2,494.30x = 3,732.32 × 2,082.42
  4. Step 4: Simplify right side
    2,494.30x = 7,772,257.81
  5. Step 5: Solve for x
    x = 7,772,257.81/2,494.30
  6. Step 6: Final answer
    x = 3,116.01

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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.