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Finding the Fourth Proportional to 2,055.42, 3,082.77 and 756.54

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Solution

The fourth proportional to 2,055.42, 3,082.77 and 756.54 is: 1,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.42 : 3,082.77 = 756.54 : x
  2. Step 2: Convert to fraction form
    2,055.42/3,082.77 = 756.54/x
  3. Step 3: Cross multiply
    2,055.42x = 3,082.77 × 756.54
  4. Step 4: Simplify right side
    2,055.42x = 2,332,238.82
  5. Step 5: Solve for x
    x = 2,332,238.82/2,055.42
  6. Step 6: Final answer
    x = 1,134.68

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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.