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Finding the Fourth Proportional to 1,824.18, 2,735.87 and 849.75

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Solution

The fourth proportional to 1,824.18, 2,735.87 and 849.75 is: 1,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.18 : 2,735.87 = 849.75 : x
  2. Step 2: Convert to fraction form
    1,824.18/2,735.87 = 849.75/x
  3. Step 3: Cross multiply
    1,824.18x = 2,735.87 × 849.75
  4. Step 4: Simplify right side
    1,824.18x = 2,324,801.28
  5. Step 5: Solve for x
    x = 2,324,801.28/1,824.18
  6. Step 6: Final answer
    x = 1,274.44

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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.