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Finding the Fourth Proportional to 2,716.24, 4,074.36 and 768.44

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Solution

The fourth proportional to 2,716.24, 4,074.36 and 768.44 is: 1,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.24 : 4,074.36 = 768.44 : x
  2. Step 2: Convert to fraction form
    2,716.24/4,074.36 = 768.44/x
  3. Step 3: Cross multiply
    2,716.24x = 4,074.36 × 768.44
  4. Step 4: Simplify right side
    2,716.24x = 3,130,901.20
  5. Step 5: Solve for x
    x = 3,130,901.20/2,716.24
  6. Step 6: Final answer
    x = 1,152.66

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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.