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Finding the Fourth Proportional to 2,347.25, 3,520.87 and 1,361.61

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Solution

The fourth proportional to 2,347.25, 3,520.87 and 1,361.61 is: 2,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.25 : 3,520.87 = 1,361.61 : x
  2. Step 2: Convert to fraction form
    2,347.25/3,520.87 = 1,361.61/x
  3. Step 3: Cross multiply
    2,347.25x = 3,520.87 × 1,361.61
  4. Step 4: Simplify right side
    2,347.25x = 4,794,048.40
  5. Step 5: Solve for x
    x = 4,794,048.40/2,347.25
  6. Step 6: Final answer
    x = 2,042.42

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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.