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Finding the Fourth Proportional to 3,096.90, 4,272.12 and 2,047.14

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Solution

The fourth proportional to 3,096.90, 4,272.12 and 2,047.14 is: 2,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.90 : 4,272.12 = 2,047.14 : x
  2. Step 2: Convert to fraction form
    3,096.90/4,272.12 = 2,047.14/x
  3. Step 3: Cross multiply
    3,096.90x = 4,272.12 × 2,047.14
  4. Step 4: Simplify right side
    3,096.90x = 8,745,627.74
  5. Step 5: Solve for x
    x = 8,745,627.74/3,096.90
  6. Step 6: Final answer
    x = 2,823.99

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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.