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Finding the Fourth Proportional to 2,186.30, 3,278.97 and 725.56

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Solution

The fourth proportional to 2,186.30, 3,278.97 and 725.56 is: 1,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.30 : 3,278.97 = 725.56 : x
  2. Step 2: Convert to fraction form
    2,186.30/3,278.97 = 725.56/x
  3. Step 3: Cross multiply
    2,186.30x = 3,278.97 × 725.56
  4. Step 4: Simplify right side
    2,186.30x = 2,379,089.47
  5. Step 5: Solve for x
    x = 2,379,089.47/2,186.30
  6. Step 6: Final answer
    x = 1,088.18

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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.