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Finding the Fourth Proportional to 2,185.26, 3,270.00 and 1,880.78

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Solution

The fourth proportional to 2,185.26, 3,270.00 and 1,880.78 is: 2,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.26 : 3,270.00 = 1,880.78 : x
  2. Step 2: Convert to fraction form
    2,185.26/3,270.00 = 1,880.78/x
  3. Step 3: Cross multiply
    2,185.26x = 3,270.00 × 1,880.78
  4. Step 4: Simplify right side
    2,185.26x = 6,150,141.20
  5. Step 5: Solve for x
    x = 6,150,141.20/2,185.26
  6. Step 6: Final answer
    x = 2,814.38

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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.