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Finding the Fourth Proportional to 2,078.85, 3,109.16 and 1,809.12

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Solution

The fourth proportional to 2,078.85, 3,109.16 and 1,809.12 is: 2,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.85 : 3,109.16 = 1,809.12 : x
  2. Step 2: Convert to fraction form
    2,078.85/3,109.16 = 1,809.12/x
  3. Step 3: Cross multiply
    2,078.85x = 3,109.16 × 1,809.12
  4. Step 4: Simplify right side
    2,078.85x = 5,624,843.54
  5. Step 5: Solve for x
    x = 5,624,843.54/2,078.85
  6. Step 6: Final answer
    x = 2,705.75

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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.