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Finding the Fourth Proportional to 2,627.49, 3,941.46 and 872.43

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Solution

The fourth proportional to 2,627.49, 3,941.46 and 872.43 is: 1,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.49 : 3,941.46 = 872.43 : x
  2. Step 2: Convert to fraction form
    2,627.49/3,941.46 = 872.43/x
  3. Step 3: Cross multiply
    2,627.49x = 3,941.46 × 872.43
  4. Step 4: Simplify right side
    2,627.49x = 3,438,647.95
  5. Step 5: Solve for x
    x = 3,438,647.95/2,627.49
  6. Step 6: Final answer
    x = 1,308.72

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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.