Home / 2,462.84-3,694.70-1,003.02

Finding the Fourth Proportional to 2,462.84, 3,694.70 and 1,003.02

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Solution

The fourth proportional to 2,462.84, 3,694.70 and 1,003.02 is: 1,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.84 : 3,694.70 = 1,003.02 : x
  2. Step 2: Convert to fraction form
    2,462.84/3,694.70 = 1,003.02/x
  3. Step 3: Cross multiply
    2,462.84x = 3,694.70 × 1,003.02
  4. Step 4: Simplify right side
    2,462.84x = 3,705,857.99
  5. Step 5: Solve for x
    x = 3,705,857.99/2,462.84
  6. Step 6: Final answer
    x = 1,504.71

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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.