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Finding the Fourth Proportional to 1,921.65, 2,651.91 and 1,082.34

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Solution

The fourth proportional to 1,921.65, 2,651.91 and 1,082.34 is: 1,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.65 : 2,651.91 = 1,082.34 : x
  2. Step 2: Convert to fraction form
    1,921.65/2,651.91 = 1,082.34/x
  3. Step 3: Cross multiply
    1,921.65x = 2,651.91 × 1,082.34
  4. Step 4: Simplify right side
    1,921.65x = 2,870,268.27
  5. Step 5: Solve for x
    x = 2,870,268.27/1,921.65
  6. Step 6: Final answer
    x = 1,493.65

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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.