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Finding the Fourth Proportional to 2,758.20, 3,806.40 and 1,579.20

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Solution

The fourth proportional to 2,758.20, 3,806.40 and 1,579.20 is: 2,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.20 : 3,806.40 = 1,579.20 : x
  2. Step 2: Convert to fraction form
    2,758.20/3,806.40 = 1,579.20/x
  3. Step 3: Cross multiply
    2,758.20x = 3,806.40 × 1,579.20
  4. Step 4: Simplify right side
    2,758.20x = 6,011,066.88
  5. Step 5: Solve for x
    x = 6,011,066.88/2,758.20
  6. Step 6: Final answer
    x = 2,179.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.