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Finding the Fourth Proportional to 1,593, 2,378.30 and 1,361.97

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Solution

The fourth proportional to 1,593, 2,378.30 and 1,361.97 is: 2,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593 : 2,378.30 = 1,361.97 : x
  2. Step 2: Convert to fraction form
    1,593/2,378.30 = 1,361.97/x
  3. Step 3: Cross multiply
    1,593x = 2,378.30 × 1,361.97
  4. Step 4: Simplify right side
    1,593x = 3,239,166.44
  5. Step 5: Solve for x
    x = 3,239,166.44/1,593
  6. Step 6: Final answer
    x = 2,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.