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Finding the Fourth Proportional to 3,080.79, 4,621.18 and 772.29

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Solution

The fourth proportional to 3,080.79, 4,621.18 and 772.29 is: 1,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.79 : 4,621.18 = 772.29 : x
  2. Step 2: Convert to fraction form
    3,080.79/4,621.18 = 772.29/x
  3. Step 3: Cross multiply
    3,080.79x = 4,621.18 × 772.29
  4. Step 4: Simplify right side
    3,080.79x = 3,568,866.07
  5. Step 5: Solve for x
    x = 3,568,866.07/3,080.79
  6. Step 6: Final answer
    x = 1,158.43

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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.