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Finding the Fourth Proportional to 1,238, 1,711.64 and 1,183.60

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Solution

The fourth proportional to 1,238, 1,711.64 and 1,183.60 is: 1,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238 : 1,711.64 = 1,183.60 : x
  2. Step 2: Convert to fraction form
    1,238/1,711.64 = 1,183.60/x
  3. Step 3: Cross multiply
    1,238x = 1,711.64 × 1,183.60
  4. Step 4: Simplify right side
    1,238x = 2,025,897.10
  5. Step 5: Solve for x
    x = 2,025,897.10/1,238
  6. Step 6: Final answer
    x = 1,636.43

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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.