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Finding the Fourth Proportional to 1,361.90, 2,043.22 and 581.52

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Solution

The fourth proportional to 1,361.90, 2,043.22 and 581.52 is: 872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.90 : 2,043.22 = 581.52 : x
  2. Step 2: Convert to fraction form
    1,361.90/2,043.22 = 581.52/x
  3. Step 3: Cross multiply
    1,361.90x = 2,043.22 × 581.52
  4. Step 4: Simplify right side
    1,361.90x = 1,188,173.29
  5. Step 5: Solve for x
    x = 1,188,173.29/1,361.90
  6. Step 6: Final answer
    x = 872.44

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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.