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Finding the Fourth Proportional to 2,186.81, 3,280.21 and 725.57

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Solution

The fourth proportional to 2,186.81, 3,280.21 and 725.57 is: 1,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.81 : 3,280.21 = 725.57 : x
  2. Step 2: Convert to fraction form
    2,186.81/3,280.21 = 725.57/x
  3. Step 3: Cross multiply
    2,186.81x = 3,280.21 × 725.57
  4. Step 4: Simplify right side
    2,186.81x = 2,380,021.97
  5. Step 5: Solve for x
    x = 2,380,021.97/2,186.81
  6. Step 6: Final answer
    x = 1,088.35

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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.