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Finding the Fourth Proportional to 2,410.48, 3,611.16 and 2,082.16

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Solution

The fourth proportional to 2,410.48, 3,611.16 and 2,082.16 is: 3,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.48 : 3,611.16 = 2,082.16 : x
  2. Step 2: Convert to fraction form
    2,410.48/3,611.16 = 2,082.16/x
  3. Step 3: Cross multiply
    2,410.48x = 3,611.16 × 2,082.16
  4. Step 4: Simplify right side
    2,410.48x = 7,519,012.91
  5. Step 5: Solve for x
    x = 7,519,012.91/2,410.48
  6. Step 6: Final answer
    x = 3,119.30

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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.