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Finding the Fourth Proportional to 2,186.99, 3,280.43 and 543.52

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Solution

The fourth proportional to 2,186.99, 3,280.43 and 543.52 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.99 : 3,280.43 = 543.52 : x
  2. Step 2: Convert to fraction form
    2,186.99/3,280.43 = 543.52/x
  3. Step 3: Cross multiply
    2,186.99x = 3,280.43 × 543.52
  4. Step 4: Simplify right side
    2,186.99x = 1,782,976.60
  5. Step 5: Solve for x
    x = 1,782,976.60/2,186.99
  6. Step 6: Final answer
    x = 815.27

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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.