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Finding the Fourth Proportional to 2,109.76, 3,164.46 and 1,286.44

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Solution

The fourth proportional to 2,109.76, 3,164.46 and 1,286.44 is: 1,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.76 : 3,164.46 = 1,286.44 : x
  2. Step 2: Convert to fraction form
    2,109.76/3,164.46 = 1,286.44/x
  3. Step 3: Cross multiply
    2,109.76x = 3,164.46 × 1,286.44
  4. Step 4: Simplify right side
    2,109.76x = 4,070,887.92
  5. Step 5: Solve for x
    x = 4,070,887.92/2,109.76
  6. Step 6: Final answer
    x = 1,929.55

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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.