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Finding the Fourth Proportional to 2,464.38, 3,694.53 and 2,001.03

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Solution

The fourth proportional to 2,464.38, 3,694.53 and 2,001.03 is: 2,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.38 : 3,694.53 = 2,001.03 : x
  2. Step 2: Convert to fraction form
    2,464.38/3,694.53 = 2,001.03/x
  3. Step 3: Cross multiply
    2,464.38x = 3,694.53 × 2,001.03
  4. Step 4: Simplify right side
    2,464.38x = 7,392,865.37
  5. Step 5: Solve for x
    x = 7,392,865.37/2,464.38
  6. Step 6: Final answer
    x = 2,999.89

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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.