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Finding the Fourth Proportional to 6,080.46, 9,120.56 and 1,697.82

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Solution

The fourth proportional to 6,080.46, 9,120.56 and 1,697.82 is: 2,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.46 : 9,120.56 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    6,080.46/9,120.56 = 1,697.82/x
  3. Step 3: Cross multiply
    6,080.46x = 9,120.56 × 1,697.82
  4. Step 4: Simplify right side
    6,080.46x = 15,485,069.18
  5. Step 5: Solve for x
    x = 15,485,069.18/6,080.46
  6. Step 6: Final answer
    x = 2,546.69

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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.