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Finding the Fourth Proportional to 2,380.62, 3,289.23 and 2,116.29

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Solution

The fourth proportional to 2,380.62, 3,289.23 and 2,116.29 is: 2,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.62 : 3,289.23 = 2,116.29 : x
  2. Step 2: Convert to fraction form
    2,380.62/3,289.23 = 2,116.29/x
  3. Step 3: Cross multiply
    2,380.62x = 3,289.23 × 2,116.29
  4. Step 4: Simplify right side
    2,380.62x = 6,960,964.56
  5. Step 5: Solve for x
    x = 6,960,964.56/2,380.62
  6. Step 6: Final answer
    x = 2,924.01

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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.