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Finding the Fourth Proportional to 2,064.38, 3,096.47 and 677.54

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Solution

The fourth proportional to 2,064.38, 3,096.47 and 677.54 is: 1,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.38 : 3,096.47 = 677.54 : x
  2. Step 2: Convert to fraction form
    2,064.38/3,096.47 = 677.54/x
  3. Step 3: Cross multiply
    2,064.38x = 3,096.47 × 677.54
  4. Step 4: Simplify right side
    2,064.38x = 2,097,982.28
  5. Step 5: Solve for x
    x = 2,097,982.28/2,064.38
  6. Step 6: Final answer
    x = 1,016.28

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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.