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Finding the Fourth Proportional to 2,054.77, 3,082.48 and 756.14

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Solution

The fourth proportional to 2,054.77, 3,082.48 and 756.14 is: 1,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.77 : 3,082.48 = 756.14 : x
  2. Step 2: Convert to fraction form
    2,054.77/3,082.48 = 756.14/x
  3. Step 3: Cross multiply
    2,054.77x = 3,082.48 × 756.14
  4. Step 4: Simplify right side
    2,054.77x = 2,330,769.12
  5. Step 5: Solve for x
    x = 2,330,769.12/2,054.77
  6. Step 6: Final answer
    x = 1,134.32

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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.