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Finding the Fourth Proportional to 2,187.14, 3,280.64 and 543.68

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Solution

The fourth proportional to 2,187.14, 3,280.64 and 543.68 is: 815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.14 : 3,280.64 = 543.68 : x
  2. Step 2: Convert to fraction form
    2,187.14/3,280.64 = 543.68/x
  3. Step 3: Cross multiply
    2,187.14x = 3,280.64 × 543.68
  4. Step 4: Simplify right side
    2,187.14x = 1,783,601.95
  5. Step 5: Solve for x
    x = 1,783,601.95/2,187.14
  6. Step 6: Final answer
    x = 815.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.