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Finding the Fourth Proportional to 2,118.76, 3,179.10 and 1,078.12

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Solution

The fourth proportional to 2,118.76, 3,179.10 and 1,078.12 is: 1,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.76 : 3,179.10 = 1,078.12 : x
  2. Step 2: Convert to fraction form
    2,118.76/3,179.10 = 1,078.12/x
  3. Step 3: Cross multiply
    2,118.76x = 3,179.10 × 1,078.12
  4. Step 4: Simplify right side
    2,118.76x = 3,427,451.29
  5. Step 5: Solve for x
    x = 3,427,451.29/2,118.76
  6. Step 6: Final answer
    x = 1,617.67

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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.