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Finding the Fourth Proportional to 2,118.47, 3,179.64 and 1,079.19

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Solution

The fourth proportional to 2,118.47, 3,179.64 and 1,079.19 is: 1,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.47 : 3,179.64 = 1,079.19 : x
  2. Step 2: Convert to fraction form
    2,118.47/3,179.64 = 1,079.19/x
  3. Step 3: Cross multiply
    2,118.47x = 3,179.64 × 1,079.19
  4. Step 4: Simplify right side
    2,118.47x = 3,431,414.40
  5. Step 5: Solve for x
    x = 3,431,414.40/2,118.47
  6. Step 6: Final answer
    x = 1,619.76

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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.