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Finding the Fourth Proportional to 2,765.12, 4,149 and 1,378.56

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Solution

The fourth proportional to 2,765.12, 4,149 and 1,378.56 is: 2,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.12 : 4,149 = 1,378.56 : x
  2. Step 2: Convert to fraction form
    2,765.12/4,149 = 1,378.56/x
  3. Step 3: Cross multiply
    2,765.12x = 4,149 × 1,378.56
  4. Step 4: Simplify right side
    2,765.12x = 5,719,645.44
  5. Step 5: Solve for x
    x = 5,719,645.44/2,765.12
  6. Step 6: Final answer
    x = 2,068.50

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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.