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Finding the Fourth Proportional to 2,187.24, 3,280.70 and 726.44

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Solution

The fourth proportional to 2,187.24, 3,280.70 and 726.44 is: 1,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.24 : 3,280.70 = 726.44 : x
  2. Step 2: Convert to fraction form
    2,187.24/3,280.70 = 726.44/x
  3. Step 3: Cross multiply
    2,187.24x = 3,280.70 × 726.44
  4. Step 4: Simplify right side
    2,187.24x = 2,383,231.71
  5. Step 5: Solve for x
    x = 2,383,231.71/2,187.24
  6. Step 6: Final answer
    x = 1,089.61

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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.