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Finding the Fourth Proportional to 2,086.08, 3,128.91 and 547.08

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Solution

The fourth proportional to 2,086.08, 3,128.91 and 547.08 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.08 : 3,128.91 = 547.08 : x
  2. Step 2: Convert to fraction form
    2,086.08/3,128.91 = 547.08/x
  3. Step 3: Cross multiply
    2,086.08x = 3,128.91 × 547.08
  4. Step 4: Simplify right side
    2,086.08x = 1,711,764.08
  5. Step 5: Solve for x
    x = 1,711,764.08/2,086.08
  6. Step 6: Final answer
    x = 820.56

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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.