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Finding the Fourth Proportional to 2,729.71, 3,742.42 and 2,680.48

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Solution

The fourth proportional to 2,729.71, 3,742.42 and 2,680.48 is: 3,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.71 : 3,742.42 = 2,680.48 : x
  2. Step 2: Convert to fraction form
    2,729.71/3,742.42 = 2,680.48/x
  3. Step 3: Cross multiply
    2,729.71x = 3,742.42 × 2,680.48
  4. Step 4: Simplify right side
    2,729.71x = 10,031,481.96
  5. Step 5: Solve for x
    x = 10,031,481.96/2,729.71
  6. Step 6: Final answer
    x = 3,674.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.