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Finding the Fourth Proportional to 2,068.38, 3,102.46 and 681.54

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Solution

The fourth proportional to 2,068.38, 3,102.46 and 681.54 is: 1,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.38 : 3,102.46 = 681.54 : x
  2. Step 2: Convert to fraction form
    2,068.38/3,102.46 = 681.54/x
  3. Step 3: Cross multiply
    2,068.38x = 3,102.46 × 681.54
  4. Step 4: Simplify right side
    2,068.38x = 2,114,450.59
  5. Step 5: Solve for x
    x = 2,114,450.59/2,068.38
  6. Step 6: Final answer
    x = 1,022.27

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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.