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Finding the Fourth Proportional to 2,546.81, 3,820.25 and 1,007.81

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Solution

The fourth proportional to 2,546.81, 3,820.25 and 1,007.81 is: 1,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.81 : 3,820.25 = 1,007.81 : x
  2. Step 2: Convert to fraction form
    2,546.81/3,820.25 = 1,007.81/x
  3. Step 3: Cross multiply
    2,546.81x = 3,820.25 × 1,007.81
  4. Step 4: Simplify right side
    2,546.81x = 3,850,090.66
  5. Step 5: Solve for x
    x = 3,850,090.66/2,546.81
  6. Step 6: Final answer
    x = 1,511.73

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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.