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Finding the Fourth Proportional to 1,921.96, 2,651.83 and 1,082.50

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Solution

The fourth proportional to 1,921.96, 2,651.83 and 1,082.50 is: 1,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.96 : 2,651.83 = 1,082.50 : x
  2. Step 2: Convert to fraction form
    1,921.96/2,651.83 = 1,082.50/x
  3. Step 3: Cross multiply
    1,921.96x = 2,651.83 × 1,082.50
  4. Step 4: Simplify right side
    1,921.96x = 2,870,605.98
  5. Step 5: Solve for x
    x = 2,870,605.98/1,921.96
  6. Step 6: Final answer
    x = 1,493.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.