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Finding the Fourth Proportional to 2,054.32, 3,082.74 and 1,232.80

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Solution

The fourth proportional to 2,054.32, 3,082.74 and 1,232.80 is: 1,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.32 : 3,082.74 = 1,232.80 : x
  2. Step 2: Convert to fraction form
    2,054.32/3,082.74 = 1,232.80/x
  3. Step 3: Cross multiply
    2,054.32x = 3,082.74 × 1,232.80
  4. Step 4: Simplify right side
    2,054.32x = 3,800,401.87
  5. Step 5: Solve for x
    x = 3,800,401.87/2,054.32
  6. Step 6: Final answer
    x = 1,849.96

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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.