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Finding the Fourth Proportional to 2,380.59, 3,286.82 and 1,484.68

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Solution

The fourth proportional to 2,380.59, 3,286.82 and 1,484.68 is: 2,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.59 : 3,286.82 = 1,484.68 : x
  2. Step 2: Convert to fraction form
    2,380.59/3,286.82 = 1,484.68/x
  3. Step 3: Cross multiply
    2,380.59x = 3,286.82 × 1,484.68
  4. Step 4: Simplify right side
    2,380.59x = 4,879,875.92
  5. Step 5: Solve for x
    x = 4,879,875.92/2,380.59
  6. Step 6: Final answer
    x = 2,049.86

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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.