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Finding the Fourth Proportional to 2,627.88, 3,934.50 and 2,131.32

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Solution

The fourth proportional to 2,627.88, 3,934.50 and 2,131.32 is: 3,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.88 : 3,934.50 = 2,131.32 : x
  2. Step 2: Convert to fraction form
    2,627.88/3,934.50 = 2,131.32/x
  3. Step 3: Cross multiply
    2,627.88x = 3,934.50 × 2,131.32
  4. Step 4: Simplify right side
    2,627.88x = 8,385,678.54
  5. Step 5: Solve for x
    x = 8,385,678.54/2,627.88
  6. Step 6: Final answer
    x = 3,191.04

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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.