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Finding the Fourth Proportional to 2,188.69, 3,281.83 and 1,496.14

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Solution

The fourth proportional to 2,188.69, 3,281.83 and 1,496.14 is: 2,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.69 : 3,281.83 = 1,496.14 : x
  2. Step 2: Convert to fraction form
    2,188.69/3,281.83 = 1,496.14/x
  3. Step 3: Cross multiply
    2,188.69x = 3,281.83 × 1,496.14
  4. Step 4: Simplify right side
    2,188.69x = 4,910,077.14
  5. Step 5: Solve for x
    x = 4,910,077.14/2,188.69
  6. Step 6: Final answer
    x = 2,243.39

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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.