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Finding the Fourth Proportional to 2,188.46, 3,280.95 and 1,092.26

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Solution

The fourth proportional to 2,188.46, 3,280.95 and 1,092.26 is: 1,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.46 : 3,280.95 = 1,092.26 : x
  2. Step 2: Convert to fraction form
    2,188.46/3,280.95 = 1,092.26/x
  3. Step 3: Cross multiply
    2,188.46x = 3,280.95 × 1,092.26
  4. Step 4: Simplify right side
    2,188.46x = 3,583,634.04
  5. Step 5: Solve for x
    x = 3,583,634.04/2,188.46
  6. Step 6: Final answer
    x = 1,637.52

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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.