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Finding the Fourth Proportional to 4,682.97, 7,023.38 and 1,761.57

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Solution

The fourth proportional to 4,682.97, 7,023.38 and 1,761.57 is: 2,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.97 : 7,023.38 = 1,761.57 : x
  2. Step 2: Convert to fraction form
    4,682.97/7,023.38 = 1,761.57/x
  3. Step 3: Cross multiply
    4,682.97x = 7,023.38 × 1,761.57
  4. Step 4: Simplify right side
    4,682.97x = 12,372,166.70
  5. Step 5: Solve for x
    x = 12,372,166.70/4,682.97
  6. Step 6: Final answer
    x = 2,641.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.