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Finding the Fourth Proportional to 2,186.04, 3,279.62 and 725.60

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Solution

The fourth proportional to 2,186.04, 3,279.62 and 725.60 is: 1,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.04 : 3,279.62 = 725.60 : x
  2. Step 2: Convert to fraction form
    2,186.04/3,279.62 = 725.60/x
  3. Step 3: Cross multiply
    2,186.04x = 3,279.62 × 725.60
  4. Step 4: Simplify right side
    2,186.04x = 2,379,692.27
  5. Step 5: Solve for x
    x = 2,379,692.27/2,186.04
  6. Step 6: Final answer
    x = 1,088.59

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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.