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Finding the Fourth Proportional to 2,380.56, 3,286.80 and 1,484.65

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Solution

The fourth proportional to 2,380.56, 3,286.80 and 1,484.65 is: 2,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.56 : 3,286.80 = 1,484.65 : x
  2. Step 2: Convert to fraction form
    2,380.56/3,286.80 = 1,484.65/x
  3. Step 3: Cross multiply
    2,380.56x = 3,286.80 × 1,484.65
  4. Step 4: Simplify right side
    2,380.56x = 4,879,765.15
  5. Step 5: Solve for x
    x = 4,879,765.15/2,380.56
  6. Step 6: Final answer
    x = 2,049.84

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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.