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Finding the Fourth Proportional to 2,086.12, 3,129.22 and 547.12

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Solution

The fourth proportional to 2,086.12, 3,129.22 and 547.12 is: 820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.12 : 3,129.22 = 547.12 : x
  2. Step 2: Convert to fraction form
    2,086.12/3,129.22 = 547.12/x
  3. Step 3: Cross multiply
    2,086.12x = 3,129.22 × 547.12
  4. Step 4: Simplify right side
    2,086.12x = 1,712,058.85
  5. Step 5: Solve for x
    x = 1,712,058.85/2,086.12
  6. Step 6: Final answer
    x = 820.69

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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.