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Finding the Fourth Proportional to 1,517.68, 2,273.68 and 1,209.88

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Solution

The fourth proportional to 1,517.68, 2,273.68 and 1,209.88 is: 1,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.68 : 2,273.68 = 1,209.88 : x
  2. Step 2: Convert to fraction form
    1,517.68/2,273.68 = 1,209.88/x
  3. Step 3: Cross multiply
    1,517.68x = 2,273.68 × 1,209.88
  4. Step 4: Simplify right side
    1,517.68x = 2,750,879.96
  5. Step 5: Solve for x
    x = 2,750,879.96/1,517.68
  6. Step 6: Final answer
    x = 1,812.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.