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Finding the Fourth Proportional to 2,121.75, 3,179.16 and 1,080.32

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Solution

The fourth proportional to 2,121.75, 3,179.16 and 1,080.32 is: 1,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.75 : 3,179.16 = 1,080.32 : x
  2. Step 2: Convert to fraction form
    2,121.75/3,179.16 = 1,080.32/x
  3. Step 3: Cross multiply
    2,121.75x = 3,179.16 × 1,080.32
  4. Step 4: Simplify right side
    2,121.75x = 3,434,510.13
  5. Step 5: Solve for x
    x = 3,434,510.13/2,121.75
  6. Step 6: Final answer
    x = 1,618.72

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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.