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Finding the Fourth Proportional to 2,720.17, 4,080.12 and 772.12

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Solution

The fourth proportional to 2,720.17, 4,080.12 and 772.12 is: 1,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.17 : 4,080.12 = 772.12 : x
  2. Step 2: Convert to fraction form
    2,720.17/4,080.12 = 772.12/x
  3. Step 3: Cross multiply
    2,720.17x = 4,080.12 × 772.12
  4. Step 4: Simplify right side
    2,720.17x = 3,150,342.25
  5. Step 5: Solve for x
    x = 3,150,342.25/2,720.17
  6. Step 6: Final answer
    x = 1,158.14

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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.