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Finding the Fourth Proportional to 2,119.41, 3,181.07 and 1,080.16

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Solution

The fourth proportional to 2,119.41, 3,181.07 and 1,080.16 is: 1,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.41 : 3,181.07 = 1,080.16 : x
  2. Step 2: Convert to fraction form
    2,119.41/3,181.07 = 1,080.16/x
  3. Step 3: Cross multiply
    2,119.41x = 3,181.07 × 1,080.16
  4. Step 4: Simplify right side
    2,119.41x = 3,436,064.57
  5. Step 5: Solve for x
    x = 3,436,064.57/2,119.41
  6. Step 6: Final answer
    x = 1,621.24

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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.