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Finding the Fourth Proportional to 2,187.32, 3,281.04 and 543.80

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Solution

The fourth proportional to 2,187.32, 3,281.04 and 543.80 is: 815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.32 : 3,281.04 = 543.80 : x
  2. Step 2: Convert to fraction form
    2,187.32/3,281.04 = 543.80/x
  3. Step 3: Cross multiply
    2,187.32x = 3,281.04 × 543.80
  4. Step 4: Simplify right side
    2,187.32x = 1,784,229.55
  5. Step 5: Solve for x
    x = 1,784,229.55/2,187.32
  6. Step 6: Final answer
    x = 815.71

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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.