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Finding the Fourth Proportional to 2,121.68, 3,179.64 and 1,096.40

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Solution

The fourth proportional to 2,121.68, 3,179.64 and 1,096.40 is: 1,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.68 : 3,179.64 = 1,096.40 : x
  2. Step 2: Convert to fraction form
    2,121.68/3,179.64 = 1,096.40/x
  3. Step 3: Cross multiply
    2,121.68x = 3,179.64 × 1,096.40
  4. Step 4: Simplify right side
    2,121.68x = 3,486,157.30
  5. Step 5: Solve for x
    x = 3,486,157.30/2,121.68
  6. Step 6: Final answer
    x = 1,643.11

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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.