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Finding the Fourth Proportional to 2,193.78, 3,292.32 and 1,084.88

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Solution

The fourth proportional to 2,193.78, 3,292.32 and 1,084.88 is: 1,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.78 : 3,292.32 = 1,084.88 : x
  2. Step 2: Convert to fraction form
    2,193.78/3,292.32 = 1,084.88/x
  3. Step 3: Cross multiply
    2,193.78x = 3,292.32 × 1,084.88
  4. Step 4: Simplify right side
    2,193.78x = 3,571,772.12
  5. Step 5: Solve for x
    x = 3,571,772.12/2,193.78
  6. Step 6: Final answer
    x = 1,628.14

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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.