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Finding the Fourth Proportional to 2,186.12, 3,277.90 and 725.16

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Solution

The fourth proportional to 2,186.12, 3,277.90 and 725.16 is: 1,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.12 : 3,277.90 = 725.16 : x
  2. Step 2: Convert to fraction form
    2,186.12/3,277.90 = 725.16/x
  3. Step 3: Cross multiply
    2,186.12x = 3,277.90 × 725.16
  4. Step 4: Simplify right side
    2,186.12x = 2,377,001.96
  5. Step 5: Solve for x
    x = 2,377,001.96/2,186.12
  6. Step 6: Final answer
    x = 1,087.32

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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.