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Finding the Fourth Proportional to 1,920.12, 2,880.17 and 1,270.70

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Solution

The fourth proportional to 1,920.12, 2,880.17 and 1,270.70 is: 1,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.12 : 2,880.17 = 1,270.70 : x
  2. Step 2: Convert to fraction form
    1,920.12/2,880.17 = 1,270.70/x
  3. Step 3: Cross multiply
    1,920.12x = 2,880.17 × 1,270.70
  4. Step 4: Simplify right side
    1,920.12x = 3,659,832.02
  5. Step 5: Solve for x
    x = 3,659,832.02/1,920.12
  6. Step 6: Final answer
    x = 1,906.04

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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.