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Finding the Fourth Proportional to 2,186.45, 3,279.99 and 725.27

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Solution

The fourth proportional to 2,186.45, 3,279.99 and 725.27 is: 1,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.45 : 3,279.99 = 725.27 : x
  2. Step 2: Convert to fraction form
    2,186.45/3,279.99 = 725.27/x
  3. Step 3: Cross multiply
    2,186.45x = 3,279.99 × 725.27
  4. Step 4: Simplify right side
    2,186.45x = 2,378,861.95
  5. Step 5: Solve for x
    x = 2,378,861.95/2,186.45
  6. Step 6: Final answer
    x = 1,088.00

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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.