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Finding the Fourth Proportional to 2,127.88, 2,936.40 and 1,183.64

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Solution

The fourth proportional to 2,127.88, 2,936.40 and 1,183.64 is: 1,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.88 : 2,936.40 = 1,183.64 : x
  2. Step 2: Convert to fraction form
    2,127.88/2,936.40 = 1,183.64/x
  3. Step 3: Cross multiply
    2,127.88x = 2,936.40 × 1,183.64
  4. Step 4: Simplify right side
    2,127.88x = 3,475,640.50
  5. Step 5: Solve for x
    x = 3,475,640.50/2,127.88
  6. Step 6: Final answer
    x = 1,633.38

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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.