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Finding the Fourth Proportional to 2,720.36, 4,082.12 and 1,471.88

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Solution

The fourth proportional to 2,720.36, 4,082.12 and 1,471.88 is: 2,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.36 : 4,082.12 = 1,471.88 : x
  2. Step 2: Convert to fraction form
    2,720.36/4,082.12 = 1,471.88/x
  3. Step 3: Cross multiply
    2,720.36x = 4,082.12 × 1,471.88
  4. Step 4: Simplify right side
    2,720.36x = 6,008,390.79
  5. Step 5: Solve for x
    x = 6,008,390.79/2,720.36
  6. Step 6: Final answer
    x = 2,208.67

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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.