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Finding the Fourth Proportional to 1,757.73, 2,423.69 and 1,198.53

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Solution

The fourth proportional to 1,757.73, 2,423.69 and 1,198.53 is: 1,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.73 : 2,423.69 = 1,198.53 : x
  2. Step 2: Convert to fraction form
    1,757.73/2,423.69 = 1,198.53/x
  3. Step 3: Cross multiply
    1,757.73x = 2,423.69 × 1,198.53
  4. Step 4: Simplify right side
    1,757.73x = 2,904,859.18
  5. Step 5: Solve for x
    x = 2,904,859.18/1,757.73
  6. Step 6: Final answer
    x = 1,652.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.