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Finding the Fourth Proportional to 2,464.64, 3,694.56 and 2,003.36

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Solution

The fourth proportional to 2,464.64, 3,694.56 and 2,003.36 is: 3,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.64 : 3,694.56 = 2,003.36 : x
  2. Step 2: Convert to fraction form
    2,464.64/3,694.56 = 2,003.36/x
  3. Step 3: Cross multiply
    2,464.64x = 3,694.56 × 2,003.36
  4. Step 4: Simplify right side
    2,464.64x = 7,401,533.72
  5. Step 5: Solve for x
    x = 7,401,533.72/2,464.64
  6. Step 6: Final answer
    x = 3,003.09

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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.