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Finding the Fourth Proportional to 1,361.89, 2,042.59 and 361.24

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Solution

The fourth proportional to 1,361.89, 2,042.59 and 361.24 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.89 : 2,042.59 = 361.24 : x
  2. Step 2: Convert to fraction form
    1,361.89/2,042.59 = 361.24/x
  3. Step 3: Cross multiply
    1,361.89x = 2,042.59 × 361.24
  4. Step 4: Simplify right side
    1,361.89x = 737,864.10
  5. Step 5: Solve for x
    x = 737,864.10/1,361.89
  6. Step 6: Final answer
    x = 541.79

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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.