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Finding the Fourth Proportional to 2,188.34, 3,280.41 and 726.69

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Solution

The fourth proportional to 2,188.34, 3,280.41 and 726.69 is: 1,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.34 : 3,280.41 = 726.69 : x
  2. Step 2: Convert to fraction form
    2,188.34/3,280.41 = 726.69/x
  3. Step 3: Cross multiply
    2,188.34x = 3,280.41 × 726.69
  4. Step 4: Simplify right side
    2,188.34x = 2,383,841.14
  5. Step 5: Solve for x
    x = 2,383,841.14/2,188.34
  6. Step 6: Final answer
    x = 1,089.34

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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.