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Finding the Fourth Proportional to 2,188.67, 3,280.26 and 1,093.34

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Solution

The fourth proportional to 2,188.67, 3,280.26 and 1,093.34 is: 1,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.67 : 3,280.26 = 1,093.34 : x
  2. Step 2: Convert to fraction form
    2,188.67/3,280.26 = 1,093.34/x
  3. Step 3: Cross multiply
    2,188.67x = 3,280.26 × 1,093.34
  4. Step 4: Simplify right side
    2,188.67x = 3,586,428.53
  5. Step 5: Solve for x
    x = 3,586,428.53/2,188.67
  6. Step 6: Final answer
    x = 1,638.64

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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.