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Finding the Fourth Proportional to 3,171.50, 4,755.51 and 1,090.34

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Solution

The fourth proportional to 3,171.50, 4,755.51 and 1,090.34 is: 1,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.50 : 4,755.51 = 1,090.34 : x
  2. Step 2: Convert to fraction form
    3,171.50/4,755.51 = 1,090.34/x
  3. Step 3: Cross multiply
    3,171.50x = 4,755.51 × 1,090.34
  4. Step 4: Simplify right side
    3,171.50x = 5,185,122.77
  5. Step 5: Solve for x
    x = 5,185,122.77/3,171.50
  6. Step 6: Final answer
    x = 1,634.91

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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.