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Finding the Fourth Proportional to 2,168.94, 3,251.61 and 1,056.54

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Solution

The fourth proportional to 2,168.94, 3,251.61 and 1,056.54 is: 1,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.94 : 3,251.61 = 1,056.54 : x
  2. Step 2: Convert to fraction form
    2,168.94/3,251.61 = 1,056.54/x
  3. Step 3: Cross multiply
    2,168.94x = 3,251.61 × 1,056.54
  4. Step 4: Simplify right side
    2,168.94x = 3,435,456.03
  5. Step 5: Solve for x
    x = 3,435,456.03/2,168.94
  6. Step 6: Final answer
    x = 1,583.93

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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.