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Finding the Fourth Proportional to 2,529.44, 3,794.16 and 1,579.88

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Solution

The fourth proportional to 2,529.44, 3,794.16 and 1,579.88 is: 2,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.44 : 3,794.16 = 1,579.88 : x
  2. Step 2: Convert to fraction form
    2,529.44/3,794.16 = 1,579.88/x
  3. Step 3: Cross multiply
    2,529.44x = 3,794.16 × 1,579.88
  4. Step 4: Simplify right side
    2,529.44x = 5,994,317.50
  5. Step 5: Solve for x
    x = 5,994,317.50/2,529.44
  6. Step 6: Final answer
    x = 2,369.82

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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.