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Finding the Fourth Proportional to 2,738.47, 4,107.64 and 764.04

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Solution

The fourth proportional to 2,738.47, 4,107.64 and 764.04 is: 1,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.47 : 4,107.64 = 764.04 : x
  2. Step 2: Convert to fraction form
    2,738.47/4,107.64 = 764.04/x
  3. Step 3: Cross multiply
    2,738.47x = 4,107.64 × 764.04
  4. Step 4: Simplify right side
    2,738.47x = 3,138,417.62
  5. Step 5: Solve for x
    x = 3,138,417.62/2,738.47
  6. Step 6: Final answer
    x = 1,146.05

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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.