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Finding the Fourth Proportional to 2,659.72, 4,002.26 and 2,194.58

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Solution

The fourth proportional to 2,659.72, 4,002.26 and 2,194.58 is: 3,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.72 : 4,002.26 = 2,194.58 : x
  2. Step 2: Convert to fraction form
    2,659.72/4,002.26 = 2,194.58/x
  3. Step 3: Cross multiply
    2,659.72x = 4,002.26 × 2,194.58
  4. Step 4: Simplify right side
    2,659.72x = 8,783,279.75
  5. Step 5: Solve for x
    x = 8,783,279.75/2,659.72
  6. Step 6: Final answer
    x = 3,302.33

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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.