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Finding the Fourth Proportional to 2,627.32, 3,941.23 and 871.95

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Solution

The fourth proportional to 2,627.32, 3,941.23 and 871.95 is: 1,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.32 : 3,941.23 = 871.95 : x
  2. Step 2: Convert to fraction form
    2,627.32/3,941.23 = 871.95/x
  3. Step 3: Cross multiply
    2,627.32x = 3,941.23 × 871.95
  4. Step 4: Simplify right side
    2,627.32x = 3,436,555.50
  5. Step 5: Solve for x
    x = 3,436,555.50/2,627.32
  6. Step 6: Final answer
    x = 1,308.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.