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Finding the Fourth Proportional to 3,080.64, 4,251.22 and 1,736.24

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Solution

The fourth proportional to 3,080.64, 4,251.22 and 1,736.24 is: 2,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.64 : 4,251.22 = 1,736.24 : x
  2. Step 2: Convert to fraction form
    3,080.64/4,251.22 = 1,736.24/x
  3. Step 3: Cross multiply
    3,080.64x = 4,251.22 × 1,736.24
  4. Step 4: Simplify right side
    3,080.64x = 7,381,138.21
  5. Step 5: Solve for x
    x = 7,381,138.21/3,080.64
  6. Step 6: Final answer
    x = 2,395.98

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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.