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Finding the Fourth Proportional to 2,215.32, 3,323.50 and 754.47

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Solution

The fourth proportional to 2,215.32, 3,323.50 and 754.47 is: 1,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.32 : 3,323.50 = 754.47 : x
  2. Step 2: Convert to fraction form
    2,215.32/3,323.50 = 754.47/x
  3. Step 3: Cross multiply
    2,215.32x = 3,323.50 × 754.47
  4. Step 4: Simplify right side
    2,215.32x = 2,507,481.05
  5. Step 5: Solve for x
    x = 2,507,481.05/2,215.32
  6. Step 6: Final answer
    x = 1,131.88

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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.