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Finding the Fourth Proportional to 2,116.14, 3,170.74 and 728.75

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Solution

The fourth proportional to 2,116.14, 3,170.74 and 728.75 is: 1,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.14 : 3,170.74 = 728.75 : x
  2. Step 2: Convert to fraction form
    2,116.14/3,170.74 = 728.75/x
  3. Step 3: Cross multiply
    2,116.14x = 3,170.74 × 728.75
  4. Step 4: Simplify right side
    2,116.14x = 2,310,676.78
  5. Step 5: Solve for x
    x = 2,310,676.78/2,116.14
  6. Step 6: Final answer
    x = 1,091.93

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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.