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Finding the Fourth Proportional to 2,635.43, 3,638.57 and 1,691.67

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Solution

The fourth proportional to 2,635.43, 3,638.57 and 1,691.67 is: 2,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.43 : 3,638.57 = 1,691.67 : x
  2. Step 2: Convert to fraction form
    2,635.43/3,638.57 = 1,691.67/x
  3. Step 3: Cross multiply
    2,635.43x = 3,638.57 × 1,691.67
  4. Step 4: Simplify right side
    2,635.43x = 6,155,251.25
  5. Step 5: Solve for x
    x = 6,155,251.25/2,635.43
  6. Step 6: Final answer
    x = 2,335.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.