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Finding the Fourth Proportional to 1,797.68, 2,696.51 and 1,433.18

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Solution

The fourth proportional to 1,797.68, 2,696.51 and 1,433.18 is: 2,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.68 : 2,696.51 = 1,433.18 : x
  2. Step 2: Convert to fraction form
    1,797.68/2,696.51 = 1,433.18/x
  3. Step 3: Cross multiply
    1,797.68x = 2,696.51 × 1,433.18
  4. Step 4: Simplify right side
    1,797.68x = 3,864,584.20
  5. Step 5: Solve for x
    x = 3,864,584.20/1,797.68
  6. Step 6: Final answer
    x = 2,149.76

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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.