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Finding the Fourth Proportional to 3,451.76, 5,179.86 and 1,260.30

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Solution

The fourth proportional to 3,451.76, 5,179.86 and 1,260.30 is: 1,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.76 : 5,179.86 = 1,260.30 : x
  2. Step 2: Convert to fraction form
    3,451.76/5,179.86 = 1,260.30/x
  3. Step 3: Cross multiply
    3,451.76x = 5,179.86 × 1,260.30
  4. Step 4: Simplify right side
    3,451.76x = 6,528,177.56
  5. Step 5: Solve for x
    x = 6,528,177.56/3,451.76
  6. Step 6: Final answer
    x = 1,891.26

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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.