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Finding the Fourth Proportional to 2,144.70, 3,208.02 and 1,806.66

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Solution

The fourth proportional to 2,144.70, 3,208.02 and 1,806.66 is: 2,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.70 : 3,208.02 = 1,806.66 : x
  2. Step 2: Convert to fraction form
    2,144.70/3,208.02 = 1,806.66/x
  3. Step 3: Cross multiply
    2,144.70x = 3,208.02 × 1,806.66
  4. Step 4: Simplify right side
    2,144.70x = 5,795,801.41
  5. Step 5: Solve for x
    x = 5,795,801.41/2,144.70
  6. Step 6: Final answer
    x = 2,702.38

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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.