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Finding the Fourth Proportional to 2,507.97, 3,761.97 and 1,208.53

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Solution

The fourth proportional to 2,507.97, 3,761.97 and 1,208.53 is: 1,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,761.97 = 1,208.53 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,761.97 = 1,208.53/x
  3. Step 3: Cross multiply
    2,507.97x = 3,761.97 × 1,208.53
  4. Step 4: Simplify right side
    2,507.97x = 4,546,453.77
  5. Step 5: Solve for x
    x = 4,546,453.77/2,507.97
  6. Step 6: Final answer
    x = 1,812.80

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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.