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Finding the Fourth Proportional to 2,187.13, 3,280.67 and 543.69

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Solution

The fourth proportional to 2,187.13, 3,280.67 and 543.69 is: 815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.13 : 3,280.67 = 543.69 : x
  2. Step 2: Convert to fraction form
    2,187.13/3,280.67 = 543.69/x
  3. Step 3: Cross multiply
    2,187.13x = 3,280.67 × 543.69
  4. Step 4: Simplify right side
    2,187.13x = 1,783,679.47
  5. Step 5: Solve for x
    x = 1,783,679.47/2,187.13
  6. Step 6: Final answer
    x = 815.53

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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.