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Finding the Fourth Proportional to 3,080.57, 4,251.19 and 1,664.26

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Solution

The fourth proportional to 3,080.57, 4,251.19 and 1,664.26 is: 2,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.57 : 4,251.19 = 1,664.26 : x
  2. Step 2: Convert to fraction form
    3,080.57/4,251.19 = 1,664.26/x
  3. Step 3: Cross multiply
    3,080.57x = 4,251.19 × 1,664.26
  4. Step 4: Simplify right side
    3,080.57x = 7,075,083.58
  5. Step 5: Solve for x
    x = 7,075,083.58/3,080.57
  6. Step 6: Final answer
    x = 2,296.68

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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.