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Finding the Fourth Proportional to 2,387.46, 3,576.32 and 2,141.62

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Solution

The fourth proportional to 2,387.46, 3,576.32 and 2,141.62 is: 3,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.46 : 3,576.32 = 2,141.62 : x
  2. Step 2: Convert to fraction form
    2,387.46/3,576.32 = 2,141.62/x
  3. Step 3: Cross multiply
    2,387.46x = 3,576.32 × 2,141.62
  4. Step 4: Simplify right side
    2,387.46x = 7,659,118.44
  5. Step 5: Solve for x
    x = 7,659,118.44/2,387.46
  6. Step 6: Final answer
    x = 3,208.06

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