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Finding the Fourth Proportional to 2,104.54, 3,153.04 and 1,282.38

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Solution

The fourth proportional to 2,104.54, 3,153.04 and 1,282.38 is: 1,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.54 : 3,153.04 = 1,282.38 : x
  2. Step 2: Convert to fraction form
    2,104.54/3,153.04 = 1,282.38/x
  3. Step 3: Cross multiply
    2,104.54x = 3,153.04 × 1,282.38
  4. Step 4: Simplify right side
    2,104.54x = 4,043,395.44
  5. Step 5: Solve for x
    x = 4,043,395.44/2,104.54
  6. Step 6: Final answer
    x = 1,921.27

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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.