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Finding the Fourth Proportional to 2,732.76, 3,771.38 and 1,684.88

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Solution

The fourth proportional to 2,732.76, 3,771.38 and 1,684.88 is: 2,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.76 : 3,771.38 = 1,684.88 : x
  2. Step 2: Convert to fraction form
    2,732.76/3,771.38 = 1,684.88/x
  3. Step 3: Cross multiply
    2,732.76x = 3,771.38 × 1,684.88
  4. Step 4: Simplify right side
    2,732.76x = 6,354,322.73
  5. Step 5: Solve for x
    x = 6,354,322.73/2,732.76
  6. Step 6: Final answer
    x = 2,325.24

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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.