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Finding the Fourth Proportional to 3,451.97, 4,763.57 and 1,959.86

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Solution

The fourth proportional to 3,451.97, 4,763.57 and 1,959.86 is: 2,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.97 : 4,763.57 = 1,959.86 : x
  2. Step 2: Convert to fraction form
    3,451.97/4,763.57 = 1,959.86/x
  3. Step 3: Cross multiply
    3,451.97x = 4,763.57 × 1,959.86
  4. Step 4: Simplify right side
    3,451.97x = 9,335,920.50
  5. Step 5: Solve for x
    x = 9,335,920.50/3,451.97
  6. Step 6: Final answer
    x = 2,704.52

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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.