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Finding the Fourth Proportional to 3,096.70, 4,272.15 and 2,046.94

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Solution

The fourth proportional to 3,096.70, 4,272.15 and 2,046.94 is: 2,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.70 : 4,272.15 = 2,046.94 : x
  2. Step 2: Convert to fraction form
    3,096.70/4,272.15 = 2,046.94/x
  3. Step 3: Cross multiply
    3,096.70x = 4,272.15 × 2,046.94
  4. Step 4: Simplify right side
    3,096.70x = 8,744,834.72
  5. Step 5: Solve for x
    x = 8,744,834.72/3,096.70
  6. Step 6: Final answer
    x = 2,823.92

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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.