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Finding the Fourth Proportional to 2,464.88, 3,694.28 and 2,115.76

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Solution

The fourth proportional to 2,464.88, 3,694.28 and 2,115.76 is: 3,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.88 : 3,694.28 = 2,115.76 : x
  2. Step 2: Convert to fraction form
    2,464.88/3,694.28 = 2,115.76/x
  3. Step 3: Cross multiply
    2,464.88x = 3,694.28 × 2,115.76
  4. Step 4: Simplify right side
    2,464.88x = 7,816,209.85
  5. Step 5: Solve for x
    x = 7,816,209.85/2,464.88
  6. Step 6: Final answer
    x = 3,171.03

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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.