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Finding the Fourth Proportional to 2,380.46, 3,280.84 and 2,008.40

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Solution

The fourth proportional to 2,380.46, 3,280.84 and 2,008.40 is: 2,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.46 : 3,280.84 = 2,008.40 : x
  2. Step 2: Convert to fraction form
    2,380.46/3,280.84 = 2,008.40/x
  3. Step 3: Cross multiply
    2,380.46x = 3,280.84 × 2,008.40
  4. Step 4: Simplify right side
    2,380.46x = 6,589,217.63
  5. Step 5: Solve for x
    x = 6,589,217.63/2,380.46
  6. Step 6: Final answer
    x = 2,768.05

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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.