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Finding the Fourth Proportional to 2,141.21, 3,212.37 and 735.61

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Solution

The fourth proportional to 2,141.21, 3,212.37 and 735.61 is: 1,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.21 : 3,212.37 = 735.61 : x
  2. Step 2: Convert to fraction form
    2,141.21/3,212.37 = 735.61/x
  3. Step 3: Cross multiply
    2,141.21x = 3,212.37 × 735.61
  4. Step 4: Simplify right side
    2,141.21x = 2,363,051.50
  5. Step 5: Solve for x
    x = 2,363,051.50/2,141.21
  6. Step 6: Final answer
    x = 1,103.61

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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.