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Finding the Fourth Proportional to 2,482.37, 3,723.43 and 943.25

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Solution

The fourth proportional to 2,482.37, 3,723.43 and 943.25 is: 1,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.37 : 3,723.43 = 943.25 : x
  2. Step 2: Convert to fraction form
    2,482.37/3,723.43 = 943.25/x
  3. Step 3: Cross multiply
    2,482.37x = 3,723.43 × 943.25
  4. Step 4: Simplify right side
    2,482.37x = 3,512,125.35
  5. Step 5: Solve for x
    x = 3,512,125.35/2,482.37
  6. Step 6: Final answer
    x = 1,414.83

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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.