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Finding the Fourth Proportional to 2,697.56, 4,048.32 and 2,082.80

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Solution

The fourth proportional to 2,697.56, 4,048.32 and 2,082.80 is: 3,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.56 : 4,048.32 = 2,082.80 : x
  2. Step 2: Convert to fraction form
    2,697.56/4,048.32 = 2,082.80/x
  3. Step 3: Cross multiply
    2,697.56x = 4,048.32 × 2,082.80
  4. Step 4: Simplify right side
    2,697.56x = 8,431,840.90
  5. Step 5: Solve for x
    x = 8,431,840.90/2,697.56
  6. Step 6: Final answer
    x = 3,125.73

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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.