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Finding the Fourth Proportional to 2,464.00, 3,400.63 and 1,469.27

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Solution

The fourth proportional to 2,464.00, 3,400.63 and 1,469.27 is: 2,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.00 : 3,400.63 = 1,469.27 : x
  2. Step 2: Convert to fraction form
    2,464.00/3,400.63 = 1,469.27/x
  3. Step 3: Cross multiply
    2,464.00x = 3,400.63 × 1,469.27
  4. Step 4: Simplify right side
    2,464.00x = 4,996,448.47
  5. Step 5: Solve for x
    x = 4,996,448.47/2,464.00
  6. Step 6: Final answer
    x = 2,027.78

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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.