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Finding the Fourth Proportional to 2,634.72, 3,952.78 and 2,193.58

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Solution

The fourth proportional to 2,634.72, 3,952.78 and 2,193.58 is: 3,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.72 : 3,952.78 = 2,193.58 : x
  2. Step 2: Convert to fraction form
    2,634.72/3,952.78 = 2,193.58/x
  3. Step 3: Cross multiply
    2,634.72x = 3,952.78 × 2,193.58
  4. Step 4: Simplify right side
    2,634.72x = 8,670,739.15
  5. Step 5: Solve for x
    x = 8,670,739.15/2,634.72
  6. Step 6: Final answer
    x = 3,290.95

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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.