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Finding the Fourth Proportional to 2,679.10, 4,016.85 and 1,429.90

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Solution

The fourth proportional to 2,679.10, 4,016.85 and 1,429.90 is: 2,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.10 : 4,016.85 = 1,429.90 : x
  2. Step 2: Convert to fraction form
    2,679.10/4,016.85 = 1,429.90/x
  3. Step 3: Cross multiply
    2,679.10x = 4,016.85 × 1,429.90
  4. Step 4: Simplify right side
    2,679.10x = 5,743,693.82
  5. Step 5: Solve for x
    x = 5,743,693.82/2,679.10
  6. Step 6: Final answer
    x = 2,143.89

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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.