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Finding the Fourth Proportional to 3,096.45, 4,642.62 and 1,015.73

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Solution

The fourth proportional to 3,096.45, 4,642.62 and 1,015.73 is: 1,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.45 : 4,642.62 = 1,015.73 : x
  2. Step 2: Convert to fraction form
    3,096.45/4,642.62 = 1,015.73/x
  3. Step 3: Cross multiply
    3,096.45x = 4,642.62 × 1,015.73
  4. Step 4: Simplify right side
    3,096.45x = 4,715,625.20
  5. Step 5: Solve for x
    x = 4,715,625.20/3,096.45
  6. Step 6: Final answer
    x = 1,522.91

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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.