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Finding the Fourth Proportional to 2,525.58, 3,786.21 and 2,182.95

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Solution

The fourth proportional to 2,525.58, 3,786.21 and 2,182.95 is: 3,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.58 : 3,786.21 = 2,182.95 : x
  2. Step 2: Convert to fraction form
    2,525.58/3,786.21 = 2,182.95/x
  3. Step 3: Cross multiply
    2,525.58x = 3,786.21 × 2,182.95
  4. Step 4: Simplify right side
    2,525.58x = 8,265,107.12
  5. Step 5: Solve for x
    x = 8,265,107.12/2,525.58
  6. Step 6: Final answer
    x = 3,272.56

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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.