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Finding the Fourth Proportional to 2,496.25, 3,744.81 and 830.47

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Solution

The fourth proportional to 2,496.25, 3,744.81 and 830.47 is: 1,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.25 : 3,744.81 = 830.47 : x
  2. Step 2: Convert to fraction form
    2,496.25/3,744.81 = 830.47/x
  3. Step 3: Cross multiply
    2,496.25x = 3,744.81 × 830.47
  4. Step 4: Simplify right side
    2,496.25x = 3,109,952.36
  5. Step 5: Solve for x
    x = 3,109,952.36/2,496.25
  6. Step 6: Final answer
    x = 1,245.85

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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.