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Finding the Fourth Proportional to 6,080.25, 9,118.25 and 1,696.53

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Solution

The fourth proportional to 6,080.25, 9,118.25 and 1,696.53 is: 2,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.25 : 9,118.25 = 1,696.53 : x
  2. Step 2: Convert to fraction form
    6,080.25/9,118.25 = 1,696.53/x
  3. Step 3: Cross multiply
    6,080.25x = 9,118.25 × 1,696.53
  4. Step 4: Simplify right side
    6,080.25x = 15,469,384.67
  5. Step 5: Solve for x
    x = 15,469,384.67/6,080.25
  6. Step 6: Final answer
    x = 2,544.20

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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.