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Finding the Fourth Proportional to 2,355.97, 3,250.86 and 1,361.38

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Solution

The fourth proportional to 2,355.97, 3,250.86 and 1,361.38 is: 1,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.97 : 3,250.86 = 1,361.38 : x
  2. Step 2: Convert to fraction form
    2,355.97/3,250.86 = 1,361.38/x
  3. Step 3: Cross multiply
    2,355.97x = 3,250.86 × 1,361.38
  4. Step 4: Simplify right side
    2,355.97x = 4,425,655.79
  5. Step 5: Solve for x
    x = 4,425,655.79/2,355.97
  6. Step 6: Final answer
    x = 1,878.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.