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Finding the Fourth Proportional to 2,720.15, 4,080.24 and 772.37

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Solution

The fourth proportional to 2,720.15, 4,080.24 and 772.37 is: 1,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.15 : 4,080.24 = 772.37 : x
  2. Step 2: Convert to fraction form
    2,720.15/4,080.24 = 772.37/x
  3. Step 3: Cross multiply
    2,720.15x = 4,080.24 × 772.37
  4. Step 4: Simplify right side
    2,720.15x = 3,151,449.87
  5. Step 5: Solve for x
    x = 3,151,449.87/2,720.15
  6. Step 6: Final answer
    x = 1,158.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.