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Finding the Fourth Proportional to 2,729.52, 3,768.17 and 1,837.95

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Solution

The fourth proportional to 2,729.52, 3,768.17 and 1,837.95 is: 2,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.52 : 3,768.17 = 1,837.95 : x
  2. Step 2: Convert to fraction form
    2,729.52/3,768.17 = 1,837.95/x
  3. Step 3: Cross multiply
    2,729.52x = 3,768.17 × 1,837.95
  4. Step 4: Simplify right side
    2,729.52x = 6,925,708.05
  5. Step 5: Solve for x
    x = 6,925,708.05/2,729.52
  6. Step 6: Final answer
    x = 2,537.34

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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.