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Finding the Fourth Proportional to 2,086.04, 3,129.06 and 547.04

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Solution

The fourth proportional to 2,086.04, 3,129.06 and 547.04 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.04 : 3,129.06 = 547.04 : x
  2. Step 2: Convert to fraction form
    2,086.04/3,129.06 = 547.04/x
  3. Step 3: Cross multiply
    2,086.04x = 3,129.06 × 547.04
  4. Step 4: Simplify right side
    2,086.04x = 1,711,720.98
  5. Step 5: Solve for x
    x = 1,711,720.98/2,086.04
  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.