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Finding the Fourth Proportional to 2,064.16, 3,096.34 and 676.93

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Solution

The fourth proportional to 2,064.16, 3,096.34 and 676.93 is: 1,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.16 : 3,096.34 = 676.93 : x
  2. Step 2: Convert to fraction form
    2,064.16/3,096.34 = 676.93/x
  3. Step 3: Cross multiply
    2,064.16x = 3,096.34 × 676.93
  4. Step 4: Simplify right side
    2,064.16x = 2,096,002.05
  5. Step 5: Solve for x
    x = 2,096,002.05/2,064.16
  6. Step 6: Final answer
    x = 1,015.43

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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.