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Finding the Fourth Proportional to 3,082.69, 4,623.99 and 1,438.30

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Solution

The fourth proportional to 3,082.69, 4,623.99 and 1,438.30 is: 2,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.69 : 4,623.99 = 1,438.30 : x
  2. Step 2: Convert to fraction form
    3,082.69/4,623.99 = 1,438.30/x
  3. Step 3: Cross multiply
    3,082.69x = 4,623.99 × 1,438.30
  4. Step 4: Simplify right side
    3,082.69x = 6,650,684.82
  5. Step 5: Solve for x
    x = 6,650,684.82/3,082.69
  6. Step 6: Final answer
    x = 2,157.43

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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.