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Finding the Fourth Proportional to 2,185.43, 3,279.48 and 868.96

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Solution

The fourth proportional to 2,185.43, 3,279.48 and 868.96 is: 1,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.43 : 3,279.48 = 868.96 : x
  2. Step 2: Convert to fraction form
    2,185.43/3,279.48 = 868.96/x
  3. Step 3: Cross multiply
    2,185.43x = 3,279.48 × 868.96
  4. Step 4: Simplify right side
    2,185.43x = 2,849,736.94
  5. Step 5: Solve for x
    x = 2,849,736.94/2,185.43
  6. Step 6: Final answer
    x = 1,303.97

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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.