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Finding the Fourth Proportional to 1,518.89, 2,096.07 and 820.27

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Solution

The fourth proportional to 1,518.89, 2,096.07 and 820.27 is: 1,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.89 : 2,096.07 = 820.27 : x
  2. Step 2: Convert to fraction form
    1,518.89/2,096.07 = 820.27/x
  3. Step 3: Cross multiply
    1,518.89x = 2,096.07 × 820.27
  4. Step 4: Simplify right side
    1,518.89x = 1,719,333.40
  5. Step 5: Solve for x
    x = 1,719,333.40/1,518.89
  6. Step 6: Final answer
    x = 1,131.97

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