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Finding the Fourth Proportional to 2,114.37, 3,171.15 and 728.60

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Solution

The fourth proportional to 2,114.37, 3,171.15 and 728.60 is: 1,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.37 : 3,171.15 = 728.60 : x
  2. Step 2: Convert to fraction form
    2,114.37/3,171.15 = 728.60/x
  3. Step 3: Cross multiply
    2,114.37x = 3,171.15 × 728.60
  4. Step 4: Simplify right side
    2,114.37x = 2,310,484.03
  5. Step 5: Solve for x
    x = 2,310,484.03/2,114.37
  6. Step 6: Final answer
    x = 1,092.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.