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Finding the Fourth Proportional to 2,055.11, 3,082.95 and 1,080.95

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Solution

The fourth proportional to 2,055.11, 3,082.95 and 1,080.95 is: 1,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.11 : 3,082.95 = 1,080.95 : x
  2. Step 2: Convert to fraction form
    2,055.11/3,082.95 = 1,080.95/x
  3. Step 3: Cross multiply
    2,055.11x = 3,082.95 × 1,080.95
  4. Step 4: Simplify right side
    2,055.11x = 3,332,499.39
  5. Step 5: Solve for x
    x = 3,332,499.39/2,055.11
  6. Step 6: Final answer
    x = 1,621.57

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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.