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Finding the Fourth Proportional to 1,627.22, 2,245.93 and 955.33

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Solution

The fourth proportional to 1,627.22, 2,245.93 and 955.33 is: 1,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.22 : 2,245.93 = 955.33 : x
  2. Step 2: Convert to fraction form
    1,627.22/2,245.93 = 955.33/x
  3. Step 3: Cross multiply
    1,627.22x = 2,245.93 × 955.33
  4. Step 4: Simplify right side
    1,627.22x = 2,145,596.30
  5. Step 5: Solve for x
    x = 2,145,596.30/1,627.22
  6. Step 6: Final answer
    x = 1,318.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.