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Finding the Fourth Proportional to 2,527.40, 3,785.09 and 2,162.44

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Solution

The fourth proportional to 2,527.40, 3,785.09 and 2,162.44 is: 3,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.40 : 3,785.09 = 2,162.44 : x
  2. Step 2: Convert to fraction form
    2,527.40/3,785.09 = 2,162.44/x
  3. Step 3: Cross multiply
    2,527.40x = 3,785.09 × 2,162.44
  4. Step 4: Simplify right side
    2,527.40x = 8,185,025.96
  5. Step 5: Solve for x
    x = 8,185,025.96/2,527.40
  6. Step 6: Final answer
    x = 3,238.52

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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.