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Finding the Fourth Proportional to 2,188.69, 3,019.43 and 1,480.28

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Solution

The fourth proportional to 2,188.69, 3,019.43 and 1,480.28 is: 2,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.69 : 3,019.43 = 1,480.28 : x
  2. Step 2: Convert to fraction form
    2,188.69/3,019.43 = 1,480.28/x
  3. Step 3: Cross multiply
    2,188.69x = 3,019.43 × 1,480.28
  4. Step 4: Simplify right side
    2,188.69x = 4,469,601.84
  5. Step 5: Solve for x
    x = 4,469,601.84/2,188.69
  6. Step 6: Final answer
    x = 2,042.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.