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Finding the Fourth Proportional to 1,921.91, 2,652.02 and 1,082.54

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Solution

The fourth proportional to 1,921.91, 2,652.02 and 1,082.54 is: 1,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.91 : 2,652.02 = 1,082.54 : x
  2. Step 2: Convert to fraction form
    1,921.91/2,652.02 = 1,082.54/x
  3. Step 3: Cross multiply
    1,921.91x = 2,652.02 × 1,082.54
  4. Step 4: Simplify right side
    1,921.91x = 2,870,921.64
  5. Step 5: Solve for x
    x = 2,870,921.64/1,921.91
  6. Step 6: Final answer
    x = 1,493.79

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Why These Related Problems?

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