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Finding the Fourth Proportional to 2,187.26, 3,280.80 and 543.78

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Solution

The fourth proportional to 2,187.26, 3,280.80 and 543.78 is: 815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.26 : 3,280.80 = 543.78 : x
  2. Step 2: Convert to fraction form
    2,187.26/3,280.80 = 543.78/x
  3. Step 3: Cross multiply
    2,187.26x = 3,280.80 × 543.78
  4. Step 4: Simplify right side
    2,187.26x = 1,784,033.42
  5. Step 5: Solve for x
    x = 1,784,033.42/2,187.26
  6. Step 6: Final answer
    x = 815.65

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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.