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Finding the Fourth Proportional to 2,627.33, 3,941.24 and 871.95

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Solution

The fourth proportional to 2,627.33, 3,941.24 and 871.95 is: 1,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.33 : 3,941.24 = 871.95 : x
  2. Step 2: Convert to fraction form
    2,627.33/3,941.24 = 871.95/x
  3. Step 3: Cross multiply
    2,627.33x = 3,941.24 × 871.95
  4. Step 4: Simplify right side
    2,627.33x = 3,436,559.86
  5. Step 5: Solve for x
    x = 3,436,559.86/2,627.33
  6. Step 6: Final answer
    x = 1,308.01

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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.