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Finding the Fourth Proportional to 2,482.92, 3,724.44 and 2,249.64

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Solution

The fourth proportional to 2,482.92, 3,724.44 and 2,249.64 is: 3,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.92 : 3,724.44 = 2,249.64 : x
  2. Step 2: Convert to fraction form
    2,482.92/3,724.44 = 2,249.64/x
  3. Step 3: Cross multiply
    2,482.92x = 3,724.44 × 2,249.64
  4. Step 4: Simplify right side
    2,482.92x = 8,378,649.20
  5. Step 5: Solve for x
    x = 8,378,649.20/2,482.92
  6. Step 6: Final answer
    x = 3,374.51

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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.