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Finding the Fourth Proportional to 2,627.30, 3,940.90 and 679.46

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Solution

The fourth proportional to 2,627.30, 3,940.90 and 679.46 is: 1,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.30 : 3,940.90 = 679.46 : x
  2. Step 2: Convert to fraction form
    2,627.30/3,940.90 = 679.46/x
  3. Step 3: Cross multiply
    2,627.30x = 3,940.90 × 679.46
  4. Step 4: Simplify right side
    2,627.30x = 2,677,683.91
  5. Step 5: Solve for x
    x = 2,677,683.91/2,627.30
  6. Step 6: Final answer
    x = 1,019.18

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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.