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Finding the Fourth Proportional to 2,054.68, 3,082.16 and 738.30

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Solution

The fourth proportional to 2,054.68, 3,082.16 and 738.30 is: 1,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.68 : 3,082.16 = 738.30 : x
  2. Step 2: Convert to fraction form
    2,054.68/3,082.16 = 738.30/x
  3. Step 3: Cross multiply
    2,054.68x = 3,082.16 × 738.30
  4. Step 4: Simplify right side
    2,054.68x = 2,275,558.73
  5. Step 5: Solve for x
    x = 2,275,558.73/2,054.68
  6. Step 6: Final answer
    x = 1,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.