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Finding the Fourth Proportional to 1,824.42, 2,738.25 and 851.07

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Solution

The fourth proportional to 1,824.42, 2,738.25 and 851.07 is: 1,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.42 : 2,738.25 = 851.07 : x
  2. Step 2: Convert to fraction form
    1,824.42/2,738.25 = 851.07/x
  3. Step 3: Cross multiply
    1,824.42x = 2,738.25 × 851.07
  4. Step 4: Simplify right side
    1,824.42x = 2,330,442.43
  5. Step 5: Solve for x
    x = 2,330,442.43/1,824.42
  6. Step 6: Final answer
    x = 1,277.36

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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.