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Finding the Fourth Proportional to 2,464.92, 3,402.29 and 1,679.43

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Solution

The fourth proportional to 2,464.92, 3,402.29 and 1,679.43 is: 2,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.92 : 3,402.29 = 1,679.43 : x
  2. Step 2: Convert to fraction form
    2,464.92/3,402.29 = 1,679.43/x
  3. Step 3: Cross multiply
    2,464.92x = 3,402.29 × 1,679.43
  4. Step 4: Simplify right side
    2,464.92x = 5,713,899.50
  5. Step 5: Solve for x
    x = 5,713,899.50/2,464.92
  6. Step 6: Final answer
    x = 2,318.09

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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.